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Finding the Fourth Proportional to 216.05, 297.95 and 169.29

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Solution

The fourth proportional to 216.05, 297.95 and 169.29 is: 233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.05 : 297.95 = 169.29 : x
  2. Step 2: Convert to fraction form
    216.05/297.95 = 169.29/x
  3. Step 3: Cross multiply
    216.05x = 297.95 × 169.29
  4. Step 4: Simplify right side
    216.05x = 50,439.11
  5. Step 5: Solve for x
    x = 50,439.11/216.05
  6. Step 6: Final answer
    x = 233.47

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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.