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Finding the Fourth Proportional to 59.34, 81.28 and 59.04

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Solution

The fourth proportional to 59.34, 81.28 and 59.04 is: 80.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.34 : 81.28 = 59.04 : x
  2. Step 2: Convert to fraction form
    59.34/81.28 = 59.04/x
  3. Step 3: Cross multiply
    59.34x = 81.28 × 59.04
  4. Step 4: Simplify right side
    59.34x = 4,798.77
  5. Step 5: Solve for x
    x = 4,798.77/59.34
  6. Step 6: Final answer
    x = 80.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.