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Finding the Fourth Proportional to 220.53, 332.40 and 205.65

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Solution

The fourth proportional to 220.53, 332.40 and 205.65 is: 309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.53 : 332.40 = 205.65 : x
  2. Step 2: Convert to fraction form
    220.53/332.40 = 205.65/x
  3. Step 3: Cross multiply
    220.53x = 332.40 × 205.65
  4. Step 4: Simplify right side
    220.53x = 68,358.06
  5. Step 5: Solve for x
    x = 68,358.06/220.53
  6. Step 6: Final answer
    x = 309.97

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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.