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Finding the Fourth Proportional to 150.63, 225.78 and 82.14

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Solution

The fourth proportional to 150.63, 225.78 and 82.14 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.63 : 225.78 = 82.14 : x
  2. Step 2: Convert to fraction form
    150.63/225.78 = 82.14/x
  3. Step 3: Cross multiply
    150.63x = 225.78 × 82.14
  4. Step 4: Simplify right side
    150.63x = 18,545.57
  5. Step 5: Solve for x
    x = 18,545.57/150.63
  6. Step 6: Final answer
    x = 123.12

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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.