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Finding the Fourth Proportional to 212.13, 292.64 and 129.22

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Solution

The fourth proportional to 212.13, 292.64 and 129.22 is: 178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 292.64 = 129.22 : x
  2. Step 2: Convert to fraction form
    212.13/292.64 = 129.22/x
  3. Step 3: Cross multiply
    212.13x = 292.64 × 129.22
  4. Step 4: Simplify right side
    212.13x = 37,813.56
  5. Step 5: Solve for x
    x = 37,813.56/212.13
  6. Step 6: Final answer
    x = 178.26

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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.