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Finding the Fourth Proportional to 220.49, 304.85 and 193.15

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Solution

The fourth proportional to 220.49, 304.85 and 193.15 is: 267.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.49 : 304.85 = 193.15 : x
  2. Step 2: Convert to fraction form
    220.49/304.85 = 193.15/x
  3. Step 3: Cross multiply
    220.49x = 304.85 × 193.15
  4. Step 4: Simplify right side
    220.49x = 58,881.78
  5. Step 5: Solve for x
    x = 58,881.78/220.49
  6. Step 6: Final answer
    x = 267.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.