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Finding the Fourth Proportional to 150.52, 225.74 and 86.36

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Solution

The fourth proportional to 150.52, 225.74 and 86.36 is: 129.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 225.74 = 86.36 : x
  2. Step 2: Convert to fraction form
    150.52/225.74 = 86.36/x
  3. Step 3: Cross multiply
    150.52x = 225.74 × 86.36
  4. Step 4: Simplify right side
    150.52x = 19,494.91
  5. Step 5: Solve for x
    x = 19,494.91/150.52
  6. Step 6: Final answer
    x = 129.52

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