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Finding the Fourth Proportional to 59.86, 82.10 and 59.15

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Solution

The fourth proportional to 59.86, 82.10 and 59.15 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.86 : 82.10 = 59.15 : x
  2. Step 2: Convert to fraction form
    59.86/82.10 = 59.15/x
  3. Step 3: Cross multiply
    59.86x = 82.10 × 59.15
  4. Step 4: Simplify right side
    59.86x = 4,856.22
  5. Step 5: Solve for x
    x = 4,856.22/59.86
  6. Step 6: Final answer
    x = 81.13

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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.