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Finding the Fourth Proportional to 283.48, 391.13 and 159.13

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Solution

The fourth proportional to 283.48, 391.13 and 159.13 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.48 : 391.13 = 159.13 : x
  2. Step 2: Convert to fraction form
    283.48/391.13 = 159.13/x
  3. Step 3: Cross multiply
    283.48x = 391.13 × 159.13
  4. Step 4: Simplify right side
    283.48x = 62,240.81
  5. Step 5: Solve for x
    x = 62,240.81/283.48
  6. Step 6: Final answer
    x = 219.56

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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.