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Finding the Fourth Proportional to 238.95, 329.79 and 160.32

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Solution

The fourth proportional to 238.95, 329.79 and 160.32 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.95 : 329.79 = 160.32 : x
  2. Step 2: Convert to fraction form
    238.95/329.79 = 160.32/x
  3. Step 3: Cross multiply
    238.95x = 329.79 × 160.32
  4. Step 4: Simplify right side
    238.95x = 52,871.93
  5. Step 5: Solve for x
    x = 52,871.93/238.95
  6. Step 6: Final answer
    x = 221.27

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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.