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Finding the Fourth Proportional to 151.16, 225.36 and 147.24

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Solution

The fourth proportional to 151.16, 225.36 and 147.24 is: 219.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.16 : 225.36 = 147.24 : x
  2. Step 2: Convert to fraction form
    151.16/225.36 = 147.24/x
  3. Step 3: Cross multiply
    151.16x = 225.36 × 147.24
  4. Step 4: Simplify right side
    151.16x = 33,182.01
  5. Step 5: Solve for x
    x = 33,182.01/151.16
  6. Step 6: Final answer
    x = 219.52

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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.