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Finding the Fourth Proportional to 152.02, 226.91 and 132.88

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Solution

The fourth proportional to 152.02, 226.91 and 132.88 is: 198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 226.91 = 132.88 : x
  2. Step 2: Convert to fraction form
    152.02/226.91 = 132.88/x
  3. Step 3: Cross multiply
    152.02x = 226.91 × 132.88
  4. Step 4: Simplify right side
    152.02x = 30,151.80
  5. Step 5: Solve for x
    x = 30,151.80/152.02
  6. Step 6: Final answer
    x = 198.34

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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.