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Finding the Fourth Proportional to 59.31, 88.53 and 52.49

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Solution

The fourth proportional to 59.31, 88.53 and 52.49 is: 78.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.31 : 88.53 = 52.49 : x
  2. Step 2: Convert to fraction form
    59.31/88.53 = 52.49/x
  3. Step 3: Cross multiply
    59.31x = 88.53 × 52.49
  4. Step 4: Simplify right side
    59.31x = 4,646.94
  5. Step 5: Solve for x
    x = 4,646.94/59.31
  6. Step 6: Final answer
    x = 78.35

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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.