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Finding the Fourth Proportional to 86.30, 129.43 and 59.24

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Solution

The fourth proportional to 86.30, 129.43 and 59.24 is: 88.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.30 : 129.43 = 59.24 : x
  2. Step 2: Convert to fraction form
    86.30/129.43 = 59.24/x
  3. Step 3: Cross multiply
    86.30x = 129.43 × 59.24
  4. Step 4: Simplify right side
    86.30x = 7,667.43
  5. Step 5: Solve for x
    x = 7,667.43/86.30
  6. Step 6: Final answer
    x = 88.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.