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Finding the Fourth Proportional to 238.02, 328.29 and 160.38

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Solution

The fourth proportional to 238.02, 328.29 and 160.38 is: 221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.02 : 328.29 = 160.38 : x
  2. Step 2: Convert to fraction form
    238.02/328.29 = 160.38/x
  3. Step 3: Cross multiply
    238.02x = 328.29 × 160.38
  4. Step 4: Simplify right side
    238.02x = 52,651.15
  5. Step 5: Solve for x
    x = 52,651.15/238.02
  6. Step 6: Final answer
    x = 221.20

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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.