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Finding the Fourth Proportional to 475.17, 713.33 and 269.90

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Solution

The fourth proportional to 475.17, 713.33 and 269.90 is: 405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.17 : 713.33 = 269.90 : x
  2. Step 2: Convert to fraction form
    475.17/713.33 = 269.90/x
  3. Step 3: Cross multiply
    475.17x = 713.33 × 269.90
  4. Step 4: Simplify right side
    475.17x = 192,527.77
  5. Step 5: Solve for x
    x = 192,527.77/475.17
  6. Step 6: Final answer
    x = 405.18

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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.