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Finding the Fourth Proportional to 316.67, 437.82 and 243.23

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Solution

The fourth proportional to 316.67, 437.82 and 243.23 is: 336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.67 : 437.82 = 243.23 : x
  2. Step 2: Convert to fraction form
    316.67/437.82 = 243.23/x
  3. Step 3: Cross multiply
    316.67x = 437.82 × 243.23
  4. Step 4: Simplify right side
    316.67x = 106,490.96
  5. Step 5: Solve for x
    x = 106,490.96/316.67
  6. Step 6: Final answer
    x = 336.28

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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.