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Finding the Fourth Proportional to 292.17, 402.91 and 209.68

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Solution

The fourth proportional to 292.17, 402.91 and 209.68 is: 289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.17 : 402.91 = 209.68 : x
  2. Step 2: Convert to fraction form
    292.17/402.91 = 209.68/x
  3. Step 3: Cross multiply
    292.17x = 402.91 × 209.68
  4. Step 4: Simplify right side
    292.17x = 84,482.17
  5. Step 5: Solve for x
    x = 84,482.17/292.17
  6. Step 6: Final answer
    x = 289.15

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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.