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Finding the Fourth Proportional to 152.15, 209.54 and 132.47

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Solution

The fourth proportional to 152.15, 209.54 and 132.47 is: 182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.15 : 209.54 = 132.47 : x
  2. Step 2: Convert to fraction form
    152.15/209.54 = 132.47/x
  3. Step 3: Cross multiply
    152.15x = 209.54 × 132.47
  4. Step 4: Simplify right side
    152.15x = 27,756.65
  5. Step 5: Solve for x
    x = 27,756.65/152.15
  6. Step 6: Final answer
    x = 182.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.