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Finding the Fourth Proportional to 86.33, 129.50 and 50.24

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Solution

The fourth proportional to 86.33, 129.50 and 50.24 is: 75.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.33 : 129.50 = 50.24 : x
  2. Step 2: Convert to fraction form
    86.33/129.50 = 50.24/x
  3. Step 3: Cross multiply
    86.33x = 129.50 × 50.24
  4. Step 4: Simplify right side
    86.33x = 6,506.08
  5. Step 5: Solve for x
    x = 6,506.08/86.33
  6. Step 6: Final answer
    x = 75.36

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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.