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Finding the Fourth Proportional to 306.42, 458.52 and 169.60

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Solution

The fourth proportional to 306.42, 458.52 and 169.60 is: 253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 458.52 = 169.60 : x
  2. Step 2: Convert to fraction form
    306.42/458.52 = 169.60/x
  3. Step 3: Cross multiply
    306.42x = 458.52 × 169.60
  4. Step 4: Simplify right side
    306.42x = 77,764.99
  5. Step 5: Solve for x
    x = 77,764.99/306.42
  6. Step 6: Final answer
    x = 253.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.