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Finding the Fourth Proportional to 617.55, 926.43 and 206.69

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Solution

The fourth proportional to 617.55, 926.43 and 206.69 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.55 : 926.43 = 206.69 : x
  2. Step 2: Convert to fraction form
    617.55/926.43 = 206.69/x
  3. Step 3: Cross multiply
    617.55x = 926.43 × 206.69
  4. Step 4: Simplify right side
    617.55x = 191,478.41
  5. Step 5: Solve for x
    x = 191,478.41/617.55
  6. Step 6: Final answer
    x = 310.06

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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.