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Finding the Fourth Proportional to 219.68, 302.72 and 179.72

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Solution

The fourth proportional to 219.68, 302.72 and 179.72 is: 247.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.68 : 302.72 = 179.72 : x
  2. Step 2: Convert to fraction form
    219.68/302.72 = 179.72/x
  3. Step 3: Cross multiply
    219.68x = 302.72 × 179.72
  4. Step 4: Simplify right side
    219.68x = 54,404.84
  5. Step 5: Solve for x
    x = 54,404.84/219.68
  6. Step 6: Final answer
    x = 247.65

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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.