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Finding the Fourth Proportional to 216.74, 299.11 and 123.49

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Solution

The fourth proportional to 216.74, 299.11 and 123.49 is: 170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.74 : 299.11 = 123.49 : x
  2. Step 2: Convert to fraction form
    216.74/299.11 = 123.49/x
  3. Step 3: Cross multiply
    216.74x = 299.11 × 123.49
  4. Step 4: Simplify right side
    216.74x = 36,934.98
  5. Step 5: Solve for x
    x = 36,934.98/216.74
  6. Step 6: Final answer
    x = 170.41

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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.