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Finding the Fourth Proportional to 318.46, 475.31 and 292.81

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Solution

The fourth proportional to 318.46, 475.31 and 292.81 is: 437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 475.31 = 292.81 : x
  2. Step 2: Convert to fraction form
    318.46/475.31 = 292.81/x
  3. Step 3: Cross multiply
    318.46x = 475.31 × 292.81
  4. Step 4: Simplify right side
    318.46x = 139,175.52
  5. Step 5: Solve for x
    x = 139,175.52/318.46
  6. Step 6: Final answer
    x = 437.03

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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.