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Finding the Fourth Proportional to 318.78, 475.56 and 309.96

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Solution

The fourth proportional to 318.78, 475.56 and 309.96 is: 462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.78 : 475.56 = 309.96 : x
  2. Step 2: Convert to fraction form
    318.78/475.56 = 309.96/x
  3. Step 3: Cross multiply
    318.78x = 475.56 × 309.96
  4. Step 4: Simplify right side
    318.78x = 147,404.58
  5. Step 5: Solve for x
    x = 147,404.58/318.78
  6. Step 6: Final answer
    x = 462.40

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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.