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Finding the Fourth Proportional to 318.57, 475.19 and 266.63

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Solution

The fourth proportional to 318.57, 475.19 and 266.63 is: 397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.57 : 475.19 = 266.63 : x
  2. Step 2: Convert to fraction form
    318.57/475.19 = 266.63/x
  3. Step 3: Cross multiply
    318.57x = 475.19 × 266.63
  4. Step 4: Simplify right side
    318.57x = 126,699.91
  5. Step 5: Solve for x
    x = 126,699.91/318.57
  6. Step 6: Final answer
    x = 397.71

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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.