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Finding the Fourth Proportional to 238.39, 328.45 and 216.55

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Solution

The fourth proportional to 238.39, 328.45 and 216.55 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.39 : 328.45 = 216.55 : x
  2. Step 2: Convert to fraction form
    238.39/328.45 = 216.55/x
  3. Step 3: Cross multiply
    238.39x = 328.45 × 216.55
  4. Step 4: Simplify right side
    238.39x = 71,125.85
  5. Step 5: Solve for x
    x = 71,125.85/238.39
  6. Step 6: Final answer
    x = 298.36

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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.