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Finding the Fourth Proportional to 169.21, 232.30 and 152.74

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Solution

The fourth proportional to 169.21, 232.30 and 152.74 is: 209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.21 : 232.30 = 152.74 : x
  2. Step 2: Convert to fraction form
    169.21/232.30 = 152.74/x
  3. Step 3: Cross multiply
    169.21x = 232.30 × 152.74
  4. Step 4: Simplify right side
    169.21x = 35,481.88
  5. Step 5: Solve for x
    x = 35,481.88/169.21
  6. Step 6: Final answer
    x = 209.69

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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.