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Finding the Fourth Proportional to 59.31, 88.47 and 58.77

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Solution

The fourth proportional to 59.31, 88.47 and 58.77 is: 87.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.31 : 88.47 = 58.77 : x
  2. Step 2: Convert to fraction form
    59.31/88.47 = 58.77/x
  3. Step 3: Cross multiply
    59.31x = 88.47 × 58.77
  4. Step 4: Simplify right side
    59.31x = 5,199.38
  5. Step 5: Solve for x
    x = 5,199.38/59.31
  6. Step 6: Final answer
    x = 87.66

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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.