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Finding the Fourth Proportional to 238.27, 328.97 and 154.40

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Solution

The fourth proportional to 238.27, 328.97 and 154.40 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.27 : 328.97 = 154.40 : x
  2. Step 2: Convert to fraction form
    238.27/328.97 = 154.40/x
  3. Step 3: Cross multiply
    238.27x = 328.97 × 154.40
  4. Step 4: Simplify right side
    238.27x = 50,790.55
  5. Step 5: Solve for x
    x = 50,790.55/238.27
  6. Step 6: Final answer
    x = 213.17

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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.