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Finding the Fourth Proportional to 212.55, 293.25 and 138.85

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Solution

The fourth proportional to 212.55, 293.25 and 138.85 is: 191.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.55 : 293.25 = 138.85 : x
  2. Step 2: Convert to fraction form
    212.55/293.25 = 138.85/x
  3. Step 3: Cross multiply
    212.55x = 293.25 × 138.85
  4. Step 4: Simplify right side
    212.55x = 40,717.76
  5. Step 5: Solve for x
    x = 40,717.76/212.55
  6. Step 6: Final answer
    x = 191.57

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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.