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Finding the Fourth Proportional to 861.98, 1,293.02 and 245.66

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Solution

The fourth proportional to 861.98, 1,293.02 and 245.66 is: 368.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.98 : 1,293.02 = 245.66 : x
  2. Step 2: Convert to fraction form
    861.98/1,293.02 = 245.66/x
  3. Step 3: Cross multiply
    861.98x = 1,293.02 × 245.66
  4. Step 4: Simplify right side
    861.98x = 317,642.06
  5. Step 5: Solve for x
    x = 317,642.06/861.98
  6. Step 6: Final answer
    x = 368.50

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Half scale
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Double scale
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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.