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Finding the Fourth Proportional to 238.18, 328.53 and 160.42

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Solution

The fourth proportional to 238.18, 328.53 and 160.42 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.18 : 328.53 = 160.42 : x
  2. Step 2: Convert to fraction form
    238.18/328.53 = 160.42/x
  3. Step 3: Cross multiply
    238.18x = 328.53 × 160.42
  4. Step 4: Simplify right side
    238.18x = 52,702.78
  5. Step 5: Solve for x
    x = 52,702.78/238.18
  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.