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Finding the Fourth Proportional to 216.52, 298.78 and 138.88

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Solution

The fourth proportional to 216.52, 298.78 and 138.88 is: 191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.52 : 298.78 = 138.88 : x
  2. Step 2: Convert to fraction form
    216.52/298.78 = 138.88/x
  3. Step 3: Cross multiply
    216.52x = 298.78 × 138.88
  4. Step 4: Simplify right side
    216.52x = 41,494.57
  5. Step 5: Solve for x
    x = 41,494.57/216.52
  6. Step 6: Final answer
    x = 191.64

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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.