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Finding the Fourth Proportional to 220.39, 302.53 and 200.95

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Solution

The fourth proportional to 220.39, 302.53 and 200.95 is: 275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.39 : 302.53 = 200.95 : x
  2. Step 2: Convert to fraction form
    220.39/302.53 = 200.95/x
  3. Step 3: Cross multiply
    220.39x = 302.53 × 200.95
  4. Step 4: Simplify right side
    220.39x = 60,793.40
  5. Step 5: Solve for x
    x = 60,793.40/220.39
  6. Step 6: Final answer
    x = 275.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.