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Finding the Fourth Proportional to 151.80, 225.91 and 150.20

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Solution

The fourth proportional to 151.80, 225.91 and 150.20 is: 223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.80 : 225.91 = 150.20 : x
  2. Step 2: Convert to fraction form
    151.80/225.91 = 150.20/x
  3. Step 3: Cross multiply
    151.80x = 225.91 × 150.20
  4. Step 4: Simplify right side
    151.80x = 33,931.68
  5. Step 5: Solve for x
    x = 33,931.68/151.80
  6. Step 6: Final answer
    x = 223.53

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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.