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Finding the Fourth Proportional to 212.25, 292.78 and 129.31

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Solution

The fourth proportional to 212.25, 292.78 and 129.31 is: 178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 292.78 = 129.31 : x
  2. Step 2: Convert to fraction form
    212.25/292.78 = 129.31/x
  3. Step 3: Cross multiply
    212.25x = 292.78 × 129.31
  4. Step 4: Simplify right side
    212.25x = 37,859.38
  5. Step 5: Solve for x
    x = 37,859.38/212.25
  6. Step 6: Final answer
    x = 178.37

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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.