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Finding the Fourth Proportional to 318.12, 475.08 and 314.76

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Solution

The fourth proportional to 318.12, 475.08 and 314.76 is: 470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.12 : 475.08 = 314.76 : x
  2. Step 2: Convert to fraction form
    318.12/475.08 = 314.76/x
  3. Step 3: Cross multiply
    318.12x = 475.08 × 314.76
  4. Step 4: Simplify right side
    318.12x = 149,536.18
  5. Step 5: Solve for x
    x = 149,536.18/318.12
  6. Step 6: Final answer
    x = 470.06

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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.