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Finding the Fourth Proportional to 212.16, 292.87 and 138.52

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Solution

The fourth proportional to 212.16, 292.87 and 138.52 is: 191.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.16 : 292.87 = 138.52 : x
  2. Step 2: Convert to fraction form
    212.16/292.87 = 138.52/x
  3. Step 3: Cross multiply
    212.16x = 292.87 × 138.52
  4. Step 4: Simplify right side
    212.16x = 40,568.35
  5. Step 5: Solve for x
    x = 40,568.35/212.16
  6. Step 6: Final answer
    x = 191.22

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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.