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Finding the Fourth Proportional to 219.20, 302.35 and 140.54

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Solution

The fourth proportional to 219.20, 302.35 and 140.54 is: 193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.20 : 302.35 = 140.54 : x
  2. Step 2: Convert to fraction form
    219.20/302.35 = 140.54/x
  3. Step 3: Cross multiply
    219.20x = 302.35 × 140.54
  4. Step 4: Simplify right side
    219.20x = 42,491.80
  5. Step 5: Solve for x
    x = 42,491.80/219.20
  6. Step 6: Final answer
    x = 193.85

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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.