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Finding the Fourth Proportional to 158.72, 217.80 and 152.96

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Solution

The fourth proportional to 158.72, 217.80 and 152.96 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.72 : 217.80 = 152.96 : x
  2. Step 2: Convert to fraction form
    158.72/217.80 = 152.96/x
  3. Step 3: Cross multiply
    158.72x = 217.80 × 152.96
  4. Step 4: Simplify right side
    158.72x = 33,314.69
  5. Step 5: Solve for x
    x = 33,314.69/158.72
  6. Step 6: Final answer
    x = 209.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.