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Finding the Fourth Proportional to 212.88, 293.80 and 138.16

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Solution

The fourth proportional to 212.88, 293.80 and 138.16 is: 190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 293.80 = 138.16 : x
  2. Step 2: Convert to fraction form
    212.88/293.80 = 138.16/x
  3. Step 3: Cross multiply
    212.88x = 293.80 × 138.16
  4. Step 4: Simplify right side
    212.88x = 40,591.41
  5. Step 5: Solve for x
    x = 40,591.41/212.88
  6. Step 6: Final answer
    x = 190.68

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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.