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Finding the Fourth Proportional to 63.10, 86.69 and 59.05

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Solution

The fourth proportional to 63.10, 86.69 and 59.05 is: 81.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.10 : 86.69 = 59.05 : x
  2. Step 2: Convert to fraction form
    63.10/86.69 = 59.05/x
  3. Step 3: Cross multiply
    63.10x = 86.69 × 59.05
  4. Step 4: Simplify right side
    63.10x = 5,119.04
  5. Step 5: Solve for x
    x = 5,119.04/63.10
  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.