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Finding the Fourth Proportional to 218.61, 326.71 and 160.17

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Solution

The fourth proportional to 218.61, 326.71 and 160.17 is: 239.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.61 : 326.71 = 160.17 : x
  2. Step 2: Convert to fraction form
    218.61/326.71 = 160.17/x
  3. Step 3: Cross multiply
    218.61x = 326.71 × 160.17
  4. Step 4: Simplify right side
    218.61x = 52,326.71
  5. Step 5: Solve for x
    x = 52,326.71/218.61
  6. Step 6: Final answer
    x = 239.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.