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Finding the Fourth Proportional to 238.68, 328.86 and 216.90

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Solution

The fourth proportional to 238.68, 328.86 and 216.90 is: 298.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.68 : 328.86 = 216.90 : x
  2. Step 2: Convert to fraction form
    238.68/328.86 = 216.90/x
  3. Step 3: Cross multiply
    238.68x = 328.86 × 216.90
  4. Step 4: Simplify right side
    238.68x = 71,329.73
  5. Step 5: Solve for x
    x = 71,329.73/238.68
  6. Step 6: Final answer
    x = 298.85

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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.