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Finding the Fourth Proportional to 292.26, 403.12 and 209.34

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Solution

The fourth proportional to 292.26, 403.12 and 209.34 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.26 : 403.12 = 209.34 : x
  2. Step 2: Convert to fraction form
    292.26/403.12 = 209.34/x
  3. Step 3: Cross multiply
    292.26x = 403.12 × 209.34
  4. Step 4: Simplify right side
    292.26x = 84,389.14
  5. Step 5: Solve for x
    x = 84,389.14/292.26
  6. Step 6: Final answer
    x = 288.75

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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.