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Finding the Fourth Proportional to 151.29, 225.35 and 144.27

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Solution

The fourth proportional to 151.29, 225.35 and 144.27 is: 214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.29 : 225.35 = 144.27 : x
  2. Step 2: Convert to fraction form
    151.29/225.35 = 144.27/x
  3. Step 3: Cross multiply
    151.29x = 225.35 × 144.27
  4. Step 4: Simplify right side
    151.29x = 32,510.52
  5. Step 5: Solve for x
    x = 32,510.52/151.29
  6. Step 6: Final answer
    x = 214.89

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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.