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Finding the Fourth Proportional to 296.95, 411.70 and 280.55

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Solution

The fourth proportional to 296.95, 411.70 and 280.55 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.95 : 411.70 = 280.55 : x
  2. Step 2: Convert to fraction form
    296.95/411.70 = 280.55/x
  3. Step 3: Cross multiply
    296.95x = 411.70 × 280.55
  4. Step 4: Simplify right side
    296.95x = 115,502.44
  5. Step 5: Solve for x
    x = 115,502.44/296.95
  6. Step 6: Final answer
    x = 388.96

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.