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Finding the Fourth Proportional to 217.76, 298.78 and 215.72

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Solution

The fourth proportional to 217.76, 298.78 and 215.72 is: 295.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.76 : 298.78 = 215.72 : x
  2. Step 2: Convert to fraction form
    217.76/298.78 = 215.72/x
  3. Step 3: Cross multiply
    217.76x = 298.78 × 215.72
  4. Step 4: Simplify right side
    217.76x = 64,452.82
  5. Step 5: Solve for x
    x = 64,452.82/217.76
  6. Step 6: Final answer
    x = 295.98

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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.