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Finding the Fourth Proportional to 212.72, 293.51 and 125.40

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Solution

The fourth proportional to 212.72, 293.51 and 125.40 is: 173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.72 : 293.51 = 125.40 : x
  2. Step 2: Convert to fraction form
    212.72/293.51 = 125.40/x
  3. Step 3: Cross multiply
    212.72x = 293.51 × 125.40
  4. Step 4: Simplify right side
    212.72x = 36,805.53
  5. Step 5: Solve for x
    x = 36,805.53/212.72
  6. Step 6: Final answer
    x = 173.03

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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.