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Finding the Fourth Proportional to 217.61, 299.94 and 162.17

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Solution

The fourth proportional to 217.61, 299.94 and 162.17 is: 223.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.61 : 299.94 = 162.17 : x
  2. Step 2: Convert to fraction form
    217.61/299.94 = 162.17/x
  3. Step 3: Cross multiply
    217.61x = 299.94 × 162.17
  4. Step 4: Simplify right side
    217.61x = 48,641.27
  5. Step 5: Solve for x
    x = 48,641.27/217.61
  6. Step 6: Final answer
    x = 223.52

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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.