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Finding the Fourth Proportional to 225.18, 340.20 and 217.89

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Solution

The fourth proportional to 225.18, 340.20 and 217.89 is: 329.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.18 : 340.20 = 217.89 : x
  2. Step 2: Convert to fraction form
    225.18/340.20 = 217.89/x
  3. Step 3: Cross multiply
    225.18x = 340.20 × 217.89
  4. Step 4: Simplify right side
    225.18x = 74,126.18
  5. Step 5: Solve for x
    x = 74,126.18/225.18
  6. Step 6: Final answer
    x = 329.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.