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Finding the Fourth Proportional to 216.74, 298.96 and 138.98

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Solution

The fourth proportional to 216.74, 298.96 and 138.98 is: 191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 298.96 = 138.98 : x
  2. Step 2: Convert to fraction form
    216.74/298.96 = 138.98/x
  3. Step 3: Cross multiply
    216.74x = 298.96 × 138.98
  4. Step 4: Simplify right side
    216.74x = 41,549.46
  5. Step 5: Solve for x
    x = 41,549.46/216.74
  6. Step 6: Final answer
    x = 191.70

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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.