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Finding the Fourth Proportional to 292.59, 404.32 and 209.97

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Solution

The fourth proportional to 292.59, 404.32 and 209.97 is: 290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.59 : 404.32 = 209.97 : x
  2. Step 2: Convert to fraction form
    292.59/404.32 = 209.97/x
  3. Step 3: Cross multiply
    292.59x = 404.32 × 209.97
  4. Step 4: Simplify right side
    292.59x = 84,895.07
  5. Step 5: Solve for x
    x = 84,895.07/292.59
  6. Step 6: Final answer
    x = 290.15

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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.