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Finding the Fourth Proportional to 318.73, 475.29 and 296.83

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Solution

The fourth proportional to 318.73, 475.29 and 296.83 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.73 : 475.29 = 296.83 : x
  2. Step 2: Convert to fraction form
    318.73/475.29 = 296.83/x
  3. Step 3: Cross multiply
    318.73x = 475.29 × 296.83
  4. Step 4: Simplify right side
    318.73x = 141,076.47
  5. Step 5: Solve for x
    x = 141,076.47/318.73
  6. Step 6: Final answer
    x = 442.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.