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Finding the Fourth Proportional to 316.54, 474.59 and 151.92

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Solution

The fourth proportional to 316.54, 474.59 and 151.92 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.54 : 474.59 = 151.92 : x
  2. Step 2: Convert to fraction form
    316.54/474.59 = 151.92/x
  3. Step 3: Cross multiply
    316.54x = 474.59 × 151.92
  4. Step 4: Simplify right side
    316.54x = 72,100.09
  5. Step 5: Solve for x
    x = 72,100.09/316.54
  6. Step 6: Final answer
    x = 227.78

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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.