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Finding the Fourth Proportional to 318.05, 474.60 and 292.13

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Solution

The fourth proportional to 318.05, 474.60 and 292.13 is: 435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.05 : 474.60 = 292.13 : x
  2. Step 2: Convert to fraction form
    318.05/474.60 = 292.13/x
  3. Step 3: Cross multiply
    318.05x = 474.60 × 292.13
  4. Step 4: Simplify right side
    318.05x = 138,644.90
  5. Step 5: Solve for x
    x = 138,644.90/318.05
  6. Step 6: Final answer
    x = 435.92

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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.