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Finding the Fourth Proportional to 318.60, 474.34 and 314.04

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Solution

The fourth proportional to 318.60, 474.34 and 314.04 is: 467.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.60 : 474.34 = 314.04 : x
  2. Step 2: Convert to fraction form
    318.60/474.34 = 314.04/x
  3. Step 3: Cross multiply
    318.60x = 474.34 × 314.04
  4. Step 4: Simplify right side
    318.60x = 148,961.73
  5. Step 5: Solve for x
    x = 148,961.73/318.60
  6. Step 6: Final answer
    x = 467.55

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