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Finding the Fourth Proportional to 474.05, 711.23 and 165.89

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Solution

The fourth proportional to 474.05, 711.23 and 165.89 is: 248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.05 : 711.23 = 165.89 : x
  2. Step 2: Convert to fraction form
    474.05/711.23 = 165.89/x
  3. Step 3: Cross multiply
    474.05x = 711.23 × 165.89
  4. Step 4: Simplify right side
    474.05x = 117,981.56
  5. Step 5: Solve for x
    x = 117,981.56/474.05
  6. Step 6: Final answer
    x = 248.88

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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.