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Finding the Fourth Proportional to 97.42, 134.45 and 62.43

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Solution

The fourth proportional to 97.42, 134.45 and 62.43 is: 86.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.42 : 134.45 = 62.43 : x
  2. Step 2: Convert to fraction form
    97.42/134.45 = 62.43/x
  3. Step 3: Cross multiply
    97.42x = 134.45 × 62.43
  4. Step 4: Simplify right side
    97.42x = 8,393.71
  5. Step 5: Solve for x
    x = 8,393.71/97.42
  6. Step 6: Final answer
    x = 86.16

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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.