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Finding the Fourth Proportional to 152.48, 209.59 and 115.43

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Solution

The fourth proportional to 152.48, 209.59 and 115.43 is: 158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.48 : 209.59 = 115.43 : x
  2. Step 2: Convert to fraction form
    152.48/209.59 = 115.43/x
  3. Step 3: Cross multiply
    152.48x = 209.59 × 115.43
  4. Step 4: Simplify right side
    152.48x = 24,191.64
  5. Step 5: Solve for x
    x = 24,191.64/152.48
  6. Step 6: Final answer
    x = 158.65

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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.