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Finding the Fourth Proportional to 152.71, 229.35 and 131.08

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Solution

The fourth proportional to 152.71, 229.35 and 131.08 is: 196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.71 : 229.35 = 131.08 : x
  2. Step 2: Convert to fraction form
    152.71/229.35 = 131.08/x
  3. Step 3: Cross multiply
    152.71x = 229.35 × 131.08
  4. Step 4: Simplify right side
    152.71x = 30,063.20
  5. Step 5: Solve for x
    x = 30,063.20/152.71
  6. Step 6: Final answer
    x = 196.86

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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.