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Finding the Fourth Proportional to 65.39, 97.52 and 58.19

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Solution

The fourth proportional to 65.39, 97.52 and 58.19 is: 86.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.39 : 97.52 = 58.19 : x
  2. Step 2: Convert to fraction form
    65.39/97.52 = 58.19/x
  3. Step 3: Cross multiply
    65.39x = 97.52 × 58.19
  4. Step 4: Simplify right side
    65.39x = 5,673.91
  5. Step 5: Solve for x
    x = 5,673.91/65.39
  6. Step 6: Final answer
    x = 86.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.