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Finding the Fourth Proportional to 318.41, 475.67 and 266.50

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Solution

The fourth proportional to 318.41, 475.67 and 266.50 is: 398.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.41 : 475.67 = 266.50 : x
  2. Step 2: Convert to fraction form
    318.41/475.67 = 266.50/x
  3. Step 3: Cross multiply
    318.41x = 475.67 × 266.50
  4. Step 4: Simplify right side
    318.41x = 126,767.98
  5. Step 5: Solve for x
    x = 126,767.98/318.41
  6. Step 6: Final answer
    x = 398.13

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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.