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Finding the Fourth Proportional to 280.83, 387.40 and 228.43

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Solution

The fourth proportional to 280.83, 387.40 and 228.43 is: 315.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 387.40 = 228.43 : x
  2. Step 2: Convert to fraction form
    280.83/387.40 = 228.43/x
  3. Step 3: Cross multiply
    280.83x = 387.40 × 228.43
  4. Step 4: Simplify right side
    280.83x = 88,493.78
  5. Step 5: Solve for x
    x = 88,493.78/280.83
  6. Step 6: Final answer
    x = 315.12

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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.