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Finding the Fourth Proportional to 151.32, 225.69 and 148.08

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Solution

The fourth proportional to 151.32, 225.69 and 148.08 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.32 : 225.69 = 148.08 : x
  2. Step 2: Convert to fraction form
    151.32/225.69 = 148.08/x
  3. Step 3: Cross multiply
    151.32x = 225.69 × 148.08
  4. Step 4: Simplify right side
    151.32x = 33,420.18
  5. Step 5: Solve for x
    x = 33,420.18/151.32
  6. Step 6: Final answer
    x = 220.86

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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.