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Finding the Fourth Proportional to 283.20, 426.77 and 243.14

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Solution

The fourth proportional to 283.20, 426.77 and 243.14 is: 366.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.20 : 426.77 = 243.14 : x
  2. Step 2: Convert to fraction form
    283.20/426.77 = 243.14/x
  3. Step 3: Cross multiply
    283.20x = 426.77 × 243.14
  4. Step 4: Simplify right side
    283.20x = 103,764.86
  5. Step 5: Solve for x
    x = 103,764.86/283.20
  6. Step 6: Final answer
    x = 366.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.