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Finding the Fourth Proportional to 285.23, 426.96 and 243.71

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Solution

The fourth proportional to 285.23, 426.96 and 243.71 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.23 : 426.96 = 243.71 : x
  2. Step 2: Convert to fraction form
    285.23/426.96 = 243.71/x
  3. Step 3: Cross multiply
    285.23x = 426.96 × 243.71
  4. Step 4: Simplify right side
    285.23x = 104,054.42
  5. Step 5: Solve for x
    x = 104,054.42/285.23
  6. Step 6: Final answer
    x = 364.81

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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.