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Finding the Fourth Proportional to 150.22, 225.18 and 52.69

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Solution

The fourth proportional to 150.22, 225.18 and 52.69 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.22 : 225.18 = 52.69 : x
  2. Step 2: Convert to fraction form
    150.22/225.18 = 52.69/x
  3. Step 3: Cross multiply
    150.22x = 225.18 × 52.69
  4. Step 4: Simplify right side
    150.22x = 11,864.73
  5. Step 5: Solve for x
    x = 11,864.73/150.22
  6. Step 6: Final answer
    x = 78.98

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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.