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Finding the Fourth Proportional to 292.80, 404.28 and 205.59

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Solution

The fourth proportional to 292.80, 404.28 and 205.59 is: 283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.80 : 404.28 = 205.59 : x
  2. Step 2: Convert to fraction form
    292.80/404.28 = 205.59/x
  3. Step 3: Cross multiply
    292.80x = 404.28 × 205.59
  4. Step 4: Simplify right side
    292.80x = 83,115.93
  5. Step 5: Solve for x
    x = 83,115.93/292.80
  6. Step 6: Final answer
    x = 283.87

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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.