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Finding the Fourth Proportional to 150.98, 225.68 and 147.33

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Solution

The fourth proportional to 150.98, 225.68 and 147.33 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.98 : 225.68 = 147.33 : x
  2. Step 2: Convert to fraction form
    150.98/225.68 = 147.33/x
  3. Step 3: Cross multiply
    150.98x = 225.68 × 147.33
  4. Step 4: Simplify right side
    150.98x = 33,248.70
  5. Step 5: Solve for x
    x = 33,248.70/150.98
  6. Step 6: Final answer
    x = 220.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.