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Finding the Fourth Proportional to 347.15, 521.31 and 243.44

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Solution

The fourth proportional to 347.15, 521.31 and 243.44 is: 365.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.15 : 521.31 = 243.44 : x
  2. Step 2: Convert to fraction form
    347.15/521.31 = 243.44/x
  3. Step 3: Cross multiply
    347.15x = 521.31 × 243.44
  4. Step 4: Simplify right side
    347.15x = 126,905.10
  5. Step 5: Solve for x
    x = 126,905.10/347.15
  6. Step 6: Final answer
    x = 365.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.