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Finding the Fourth Proportional to 411.78, 568.08 and 280.74

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Solution

The fourth proportional to 411.78, 568.08 and 280.74 is: 387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 568.08 = 280.74 : x
  2. Step 2: Convert to fraction form
    411.78/568.08 = 280.74/x
  3. Step 3: Cross multiply
    411.78x = 568.08 × 280.74
  4. Step 4: Simplify right side
    411.78x = 159,482.78
  5. Step 5: Solve for x
    x = 159,482.78/411.78
  6. Step 6: Final answer
    x = 387.30

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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.