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Finding the Fourth Proportional to 617.40, 926.10 and 206.55

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Solution

The fourth proportional to 617.40, 926.10 and 206.55 is: 309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 926.10 = 206.55 : x
  2. Step 2: Convert to fraction form
    617.40/926.10 = 206.55/x
  3. Step 3: Cross multiply
    617.40x = 926.10 × 206.55
  4. Step 4: Simplify right side
    617.40x = 191,285.96
  5. Step 5: Solve for x
    x = 191,285.96/617.40
  6. Step 6: Final answer
    x = 309.83

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.