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Finding the Fourth Proportional to 252.58, 348.16 and 169.53

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Solution

The fourth proportional to 252.58, 348.16 and 169.53 is: 233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.58 : 348.16 = 169.53 : x
  2. Step 2: Convert to fraction form
    252.58/348.16 = 169.53/x
  3. Step 3: Cross multiply
    252.58x = 348.16 × 169.53
  4. Step 4: Simplify right side
    252.58x = 59,023.56
  5. Step 5: Solve for x
    x = 59,023.56/252.58
  6. Step 6: Final answer
    x = 233.68

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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.