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Finding the Fourth Proportional to 283.60, 391.40 and 159.25

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Solution

The fourth proportional to 283.60, 391.40 and 159.25 is: 219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.60 : 391.40 = 159.25 : x
  2. Step 2: Convert to fraction form
    283.60/391.40 = 159.25/x
  3. Step 3: Cross multiply
    283.60x = 391.40 × 159.25
  4. Step 4: Simplify right side
    283.60x = 62,330.01
  5. Step 5: Solve for x
    x = 62,330.01/283.60
  6. Step 6: Final answer
    x = 219.78

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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.