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Finding the Fourth Proportional to 238.01, 328.73 and 159.20

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Solution

The fourth proportional to 238.01, 328.73 and 159.20 is: 219.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.01 : 328.73 = 159.20 : x
  2. Step 2: Convert to fraction form
    238.01/328.73 = 159.20/x
  3. Step 3: Cross multiply
    238.01x = 328.73 × 159.20
  4. Step 4: Simplify right side
    238.01x = 52,332.17
  5. Step 5: Solve for x
    x = 52,332.17/238.01
  6. Step 6: Final answer
    x = 219.87

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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.