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Finding the Fourth Proportional to 212.48, 293.21 and 138.75

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Solution

The fourth proportional to 212.48, 293.21 and 138.75 is: 191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.48 : 293.21 = 138.75 : x
  2. Step 2: Convert to fraction form
    212.48/293.21 = 138.75/x
  3. Step 3: Cross multiply
    212.48x = 293.21 × 138.75
  4. Step 4: Simplify right side
    212.48x = 40,683.23
  5. Step 5: Solve for x
    x = 40,683.23/212.48
  6. Step 6: Final answer
    x = 191.47

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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.