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Finding the Fourth Proportional to 212.46, 293.13 and 138.75

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Solution

The fourth proportional to 212.46, 293.13 and 138.75 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.46 : 293.13 = 138.75 : x
  2. Step 2: Convert to fraction form
    212.46/293.13 = 138.75/x
  3. Step 3: Cross multiply
    212.46x = 293.13 × 138.75
  4. Step 4: Simplify right side
    212.46x = 40,671.79
  5. Step 5: Solve for x
    x = 40,671.79/212.46
  6. Step 6: Final answer
    x = 191.43

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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.