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Finding the Fourth Proportional to 102.40, 141.24 and 65.59

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Solution

The fourth proportional to 102.40, 141.24 and 65.59 is: 90.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.40 : 141.24 = 65.59 : x
  2. Step 2: Convert to fraction form
    102.40/141.24 = 65.59/x
  3. Step 3: Cross multiply
    102.40x = 141.24 × 65.59
  4. Step 4: Simplify right side
    102.40x = 9,263.82
  5. Step 5: Solve for x
    x = 9,263.82/102.40
  6. Step 6: Final answer
    x = 90.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.