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Finding the Fourth Proportional to 218.41, 326.93 and 159.72

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Solution

The fourth proportional to 218.41, 326.93 and 159.72 is: 239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.41 : 326.93 = 159.72 : x
  2. Step 2: Convert to fraction form
    218.41/326.93 = 159.72/x
  3. Step 3: Cross multiply
    218.41x = 326.93 × 159.72
  4. Step 4: Simplify right side
    218.41x = 52,215.24
  5. Step 5: Solve for x
    x = 52,215.24/218.41
  6. Step 6: Final answer
    x = 239.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.