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Finding the Fourth Proportional to 152.18, 209.39 and 123.92

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Solution

The fourth proportional to 152.18, 209.39 and 123.92 is: 170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.18 : 209.39 = 123.92 : x
  2. Step 2: Convert to fraction form
    152.18/209.39 = 123.92/x
  3. Step 3: Cross multiply
    152.18x = 209.39 × 123.92
  4. Step 4: Simplify right side
    152.18x = 25,945.94
  5. Step 5: Solve for x
    x = 25,945.94/152.18
  6. Step 6: Final answer
    x = 170.50

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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.