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Finding the Fourth Proportional to 283.39, 391.14 and 165.40

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Solution

The fourth proportional to 283.39, 391.14 and 165.40 is: 228.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.39 : 391.14 = 165.40 : x
  2. Step 2: Convert to fraction form
    283.39/391.14 = 165.40/x
  3. Step 3: Cross multiply
    283.39x = 391.14 × 165.40
  4. Step 4: Simplify right side
    283.39x = 64,693.58
  5. Step 5: Solve for x
    x = 64,693.58/283.39
  6. Step 6: Final answer
    x = 228.29

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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.