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Finding the Fourth Proportional to 243.14, 362.72 and 231.59

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Solution

The fourth proportional to 243.14, 362.72 and 231.59 is: 345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.14 : 362.72 = 231.59 : x
  2. Step 2: Convert to fraction form
    243.14/362.72 = 231.59/x
  3. Step 3: Cross multiply
    243.14x = 362.72 × 231.59
  4. Step 4: Simplify right side
    243.14x = 83,999.35
  5. Step 5: Solve for x
    x = 83,999.35/243.14
  6. Step 6: Final answer
    x = 345.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.