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Finding the Fourth Proportional to 475.46, 711.86 and 269.66

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Solution

The fourth proportional to 475.46, 711.86 and 269.66 is: 403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.46 : 711.86 = 269.66 : x
  2. Step 2: Convert to fraction form
    475.46/711.86 = 269.66/x
  3. Step 3: Cross multiply
    475.46x = 711.86 × 269.66
  4. Step 4: Simplify right side
    475.46x = 191,960.17
  5. Step 5: Solve for x
    x = 191,960.17/475.46
  6. Step 6: Final answer
    x = 403.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.