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Finding the Fourth Proportional to 216.06, 297.89 and 160.71

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Solution

The fourth proportional to 216.06, 297.89 and 160.71 is: 221.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.06 : 297.89 = 160.71 : x
  2. Step 2: Convert to fraction form
    216.06/297.89 = 160.71/x
  3. Step 3: Cross multiply
    216.06x = 297.89 × 160.71
  4. Step 4: Simplify right side
    216.06x = 47,873.90
  5. Step 5: Solve for x
    x = 47,873.90/216.06
  6. Step 6: Final answer
    x = 221.58

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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.