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Finding the Fourth Proportional to 318.42, 475.29 and 315.72

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Solution

The fourth proportional to 318.42, 475.29 and 315.72 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.42 : 475.29 = 315.72 : x
  2. Step 2: Convert to fraction form
    318.42/475.29 = 315.72/x
  3. Step 3: Cross multiply
    318.42x = 475.29 × 315.72
  4. Step 4: Simplify right side
    318.42x = 150,058.56
  5. Step 5: Solve for x
    x = 150,058.56/318.42
  6. Step 6: Final answer
    x = 471.26

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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.