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Finding the Fourth Proportional to 292.24, 402.78 and 209.08

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Solution

The fourth proportional to 292.24, 402.78 and 209.08 is: 288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.24 : 402.78 = 209.08 : x
  2. Step 2: Convert to fraction form
    292.24/402.78 = 209.08/x
  3. Step 3: Cross multiply
    292.24x = 402.78 × 209.08
  4. Step 4: Simplify right side
    292.24x = 84,213.24
  5. Step 5: Solve for x
    x = 84,213.24/292.24
  6. Step 6: Final answer
    x = 288.16

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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.