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Finding the Fourth Proportional to 218.86, 326.72 and 187.90

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Solution

The fourth proportional to 218.86, 326.72 and 187.90 is: 280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.86 : 326.72 = 187.90 : x
  2. Step 2: Convert to fraction form
    218.86/326.72 = 187.90/x
  3. Step 3: Cross multiply
    218.86x = 326.72 × 187.90
  4. Step 4: Simplify right side
    218.86x = 61,390.69
  5. Step 5: Solve for x
    x = 61,390.69/218.86
  6. Step 6: Final answer
    x = 280.50

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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.