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Finding the Fourth Proportional to 218.30, 325.11 and 214.90

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Solution

The fourth proportional to 218.30, 325.11 and 214.90 is: 320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.30 : 325.11 = 214.90 : x
  2. Step 2: Convert to fraction form
    218.30/325.11 = 214.90/x
  3. Step 3: Cross multiply
    218.30x = 325.11 × 214.90
  4. Step 4: Simplify right side
    218.30x = 69,867.96
  5. Step 5: Solve for x
    x = 69,867.96/218.30
  6. Step 6: Final answer
    x = 320.06

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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.