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Finding the Fourth Proportional to 243.14, 335.53 and 160.29

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Solution

The fourth proportional to 243.14, 335.53 and 160.29 is: 221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 335.53 = 160.29 : x
  2. Step 2: Convert to fraction form
    243.14/335.53 = 160.29/x
  3. Step 3: Cross multiply
    243.14x = 335.53 × 160.29
  4. Step 4: Simplify right side
    243.14x = 53,782.10
  5. Step 5: Solve for x
    x = 53,782.10/243.14
  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.