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Finding the Fourth Proportional to 474.17, 711.43 and 185.81

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Solution

The fourth proportional to 474.17, 711.43 and 185.81 is: 278.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.17 : 711.43 = 185.81 : x
  2. Step 2: Convert to fraction form
    474.17/711.43 = 185.81/x
  3. Step 3: Cross multiply
    474.17x = 711.43 × 185.81
  4. Step 4: Simplify right side
    474.17x = 132,186.79
  5. Step 5: Solve for x
    x = 132,186.79/474.17
  6. Step 6: Final answer
    x = 278.78

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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.