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Finding the Fourth Proportional to 152.46, 228.42 and 132.08

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Solution

The fourth proportional to 152.46, 228.42 and 132.08 is: 197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.46 : 228.42 = 132.08 : x
  2. Step 2: Convert to fraction form
    152.46/228.42 = 132.08/x
  3. Step 3: Cross multiply
    152.46x = 228.42 × 132.08
  4. Step 4: Simplify right side
    152.46x = 30,168.57
  5. Step 5: Solve for x
    x = 30,168.57/152.46
  6. Step 6: Final answer
    x = 197.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.