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Finding the Fourth Proportional to 243.20, 362.94 and 214.31

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Solution

The fourth proportional to 243.20, 362.94 and 214.31 is: 319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 362.94 = 214.31 : x
  2. Step 2: Convert to fraction form
    243.20/362.94 = 214.31/x
  3. Step 3: Cross multiply
    243.20x = 362.94 × 214.31
  4. Step 4: Simplify right side
    243.20x = 77,779.86
  5. Step 5: Solve for x
    x = 77,779.86/243.20
  6. Step 6: Final answer
    x = 319.83

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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.