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Finding the Fourth Proportional to 318.46, 475.04 and 296.19

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Solution

The fourth proportional to 318.46, 475.04 and 296.19 is: 441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 475.04 = 296.19 : x
  2. Step 2: Convert to fraction form
    318.46/475.04 = 296.19/x
  3. Step 3: Cross multiply
    318.46x = 475.04 × 296.19
  4. Step 4: Simplify right side
    318.46x = 140,702.10
  5. Step 5: Solve for x
    x = 140,702.10/318.46
  6. Step 6: Final answer
    x = 441.82

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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.