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Finding the Fourth Proportional to 59.29, 88.13 and 57.47

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Solution

The fourth proportional to 59.29, 88.13 and 57.47 is: 85.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.29 : 88.13 = 57.47 : x
  2. Step 2: Convert to fraction form
    59.29/88.13 = 57.47/x
  3. Step 3: Cross multiply
    59.29x = 88.13 × 57.47
  4. Step 4: Simplify right side
    59.29x = 5,064.53
  5. Step 5: Solve for x
    x = 5,064.53/59.29
  6. Step 6: Final answer
    x = 85.42

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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.