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Finding the Fourth Proportional to 325.83, 448.52 and 281.55

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Solution

The fourth proportional to 325.83, 448.52 and 281.55 is: 387.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.83 : 448.52 = 281.55 : x
  2. Step 2: Convert to fraction form
    325.83/448.52 = 281.55/x
  3. Step 3: Cross multiply
    325.83x = 448.52 × 281.55
  4. Step 4: Simplify right side
    325.83x = 126,279.40
  5. Step 5: Solve for x
    x = 126,279.40/325.83
  6. Step 6: Final answer
    x = 387.56

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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.