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Finding the Fourth Proportional to 218.76, 326.61 and 188.20

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Solution

The fourth proportional to 218.76, 326.61 and 188.20 is: 280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.76 : 326.61 = 188.20 : x
  2. Step 2: Convert to fraction form
    218.76/326.61 = 188.20/x
  3. Step 3: Cross multiply
    218.76x = 326.61 × 188.20
  4. Step 4: Simplify right side
    218.76x = 61,468.00
  5. Step 5: Solve for x
    x = 61,468.00/218.76
  6. Step 6: Final answer
    x = 280.98

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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.