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Finding the Fourth Proportional to 321.83, 444.13 and 174.47

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Solution

The fourth proportional to 321.83, 444.13 and 174.47 is: 240.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.83 : 444.13 = 174.47 : x
  2. Step 2: Convert to fraction form
    321.83/444.13 = 174.47/x
  3. Step 3: Cross multiply
    321.83x = 444.13 × 174.47
  4. Step 4: Simplify right side
    321.83x = 77,484.70
  5. Step 5: Solve for x
    x = 77,484.70/321.83
  6. Step 6: Final answer
    x = 240.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.