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Finding the Fourth Proportional to 238.63, 358.11 and 161.56

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Solution

The fourth proportional to 238.63, 358.11 and 161.56 is: 242.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.63 : 358.11 = 161.56 : x
  2. Step 2: Convert to fraction form
    238.63/358.11 = 161.56/x
  3. Step 3: Cross multiply
    238.63x = 358.11 × 161.56
  4. Step 4: Simplify right side
    238.63x = 57,856.25
  5. Step 5: Solve for x
    x = 57,856.25/238.63
  6. Step 6: Final answer
    x = 242.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.