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Finding the Fourth Proportional to 283.87, 391.75 and 159.52

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Solution

The fourth proportional to 283.87, 391.75 and 159.52 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.87 : 391.75 = 159.52 : x
  2. Step 2: Convert to fraction form
    283.87/391.75 = 159.52/x
  3. Step 3: Cross multiply
    283.87x = 391.75 × 159.52
  4. Step 4: Simplify right side
    283.87x = 62,491.96
  5. Step 5: Solve for x
    x = 62,491.96/283.87
  6. Step 6: Final answer
    x = 220.14

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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.