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Finding the Fourth Proportional to 212.60, 293.38 and 125.27

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Solution

The fourth proportional to 212.60, 293.38 and 125.27 is: 172.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 293.38 = 125.27 : x
  2. Step 2: Convert to fraction form
    212.60/293.38 = 125.27/x
  3. Step 3: Cross multiply
    212.60x = 293.38 × 125.27
  4. Step 4: Simplify right side
    212.60x = 36,751.71
  5. Step 5: Solve for x
    x = 36,751.71/212.60
  6. Step 6: Final answer
    x = 172.87

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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.