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Finding the Fourth Proportional to 216.83, 299.17 and 123.54

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Solution

The fourth proportional to 216.83, 299.17 and 123.54 is: 170.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.83 : 299.17 = 123.54 : x
  2. Step 2: Convert to fraction form
    216.83/299.17 = 123.54/x
  3. Step 3: Cross multiply
    216.83x = 299.17 × 123.54
  4. Step 4: Simplify right side
    216.83x = 36,960.74
  5. Step 5: Solve for x
    x = 36,960.74/216.83
  6. Step 6: Final answer
    x = 170.46

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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.