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Finding the Fourth Proportional to 218.97, 325.96 and 214.92

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Solution

The fourth proportional to 218.97, 325.96 and 214.92 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.97 : 325.96 = 214.92 : x
  2. Step 2: Convert to fraction form
    218.97/325.96 = 214.92/x
  3. Step 3: Cross multiply
    218.97x = 325.96 × 214.92
  4. Step 4: Simplify right side
    218.97x = 70,054.79
  5. Step 5: Solve for x
    x = 70,054.79/218.97
  6. Step 6: Final answer
    x = 319.93

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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.