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Finding the Fourth Proportional to 283.60, 391.12 and 228.32

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Solution

The fourth proportional to 283.60, 391.12 and 228.32 is: 314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.60 : 391.12 = 228.32 : x
  2. Step 2: Convert to fraction form
    283.60/391.12 = 228.32/x
  3. Step 3: Cross multiply
    283.60x = 391.12 × 228.32
  4. Step 4: Simplify right side
    283.60x = 89,300.52
  5. Step 5: Solve for x
    x = 89,300.52/283.60
  6. Step 6: Final answer
    x = 314.88

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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.