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Finding the Fourth Proportional to 212.98, 293.96 and 125.71

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Solution

The fourth proportional to 212.98, 293.96 and 125.71 is: 173.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.98 : 293.96 = 125.71 : x
  2. Step 2: Convert to fraction form
    212.98/293.96 = 125.71/x
  3. Step 3: Cross multiply
    212.98x = 293.96 × 125.71
  4. Step 4: Simplify right side
    212.98x = 36,953.71
  5. Step 5: Solve for x
    x = 36,953.71/212.98
  6. Step 6: Final answer
    x = 173.51

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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.