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Finding the Fourth Proportional to 215.64, 296.88 and 182.88

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Solution

The fourth proportional to 215.64, 296.88 and 182.88 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 296.88 = 182.88 : x
  2. Step 2: Convert to fraction form
    215.64/296.88 = 182.88/x
  3. Step 3: Cross multiply
    215.64x = 296.88 × 182.88
  4. Step 4: Simplify right side
    215.64x = 54,293.41
  5. Step 5: Solve for x
    x = 54,293.41/215.64
  6. Step 6: Final answer
    x = 251.78

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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.