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Finding the Fourth Proportional to 60.20, 82.82 and 59.08

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Solution

The fourth proportional to 60.20, 82.82 and 59.08 is: 81.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.20 : 82.82 = 59.08 : x
  2. Step 2: Convert to fraction form
    60.20/82.82 = 59.08/x
  3. Step 3: Cross multiply
    60.20x = 82.82 × 59.08
  4. Step 4: Simplify right side
    60.20x = 4,893.01
  5. Step 5: Solve for x
    x = 4,893.01/60.20
  6. Step 6: Final answer
    x = 81.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.