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Finding the Fourth Proportional to 169.39, 234.98 and 157.24

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Solution

The fourth proportional to 169.39, 234.98 and 157.24 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.39 : 234.98 = 157.24 : x
  2. Step 2: Convert to fraction form
    169.39/234.98 = 157.24/x
  3. Step 3: Cross multiply
    169.39x = 234.98 × 157.24
  4. Step 4: Simplify right side
    169.39x = 36,948.26
  5. Step 5: Solve for x
    x = 36,948.26/169.39
  6. Step 6: Final answer
    x = 218.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.