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Finding the Fourth Proportional to 411.94, 569.16 and 281.52

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Solution

The fourth proportional to 411.94, 569.16 and 281.52 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.94 : 569.16 = 281.52 : x
  2. Step 2: Convert to fraction form
    411.94/569.16 = 281.52/x
  3. Step 3: Cross multiply
    411.94x = 569.16 × 281.52
  4. Step 4: Simplify right side
    411.94x = 160,229.92
  5. Step 5: Solve for x
    x = 160,229.92/411.94
  6. Step 6: Final answer
    x = 388.96

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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.