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Finding the Fourth Proportional to 213.95, 294.48 and 182.76

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Solution

The fourth proportional to 213.95, 294.48 and 182.76 is: 251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.95 : 294.48 = 182.76 : x
  2. Step 2: Convert to fraction form
    213.95/294.48 = 182.76/x
  3. Step 3: Cross multiply
    213.95x = 294.48 × 182.76
  4. Step 4: Simplify right side
    213.95x = 53,819.16
  5. Step 5: Solve for x
    x = 53,819.16/213.95
  6. Step 6: Final answer
    x = 251.55

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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.