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Finding the Fourth Proportional to 218.74, 326.86 and 160.57

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Solution

The fourth proportional to 218.74, 326.86 and 160.57 is: 239.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.74 : 326.86 = 160.57 : x
  2. Step 2: Convert to fraction form
    218.74/326.86 = 160.57/x
  3. Step 3: Cross multiply
    218.74x = 326.86 × 160.57
  4. Step 4: Simplify right side
    218.74x = 52,483.91
  5. Step 5: Solve for x
    x = 52,483.91/218.74
  6. Step 6: Final answer
    x = 239.94

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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.