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Finding the Fourth Proportional to 216.09, 297.92 and 176.71

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Solution

The fourth proportional to 216.09, 297.92 and 176.71 is: 243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.09 : 297.92 = 176.71 : x
  2. Step 2: Convert to fraction form
    216.09/297.92 = 176.71/x
  3. Step 3: Cross multiply
    216.09x = 297.92 × 176.71
  4. Step 4: Simplify right side
    216.09x = 52,645.14
  5. Step 5: Solve for x
    x = 52,645.14/216.09
  6. Step 6: Final answer
    x = 243.63

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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.