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Finding the Fourth Proportional to 285.73, 430.11 and 243.97

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Solution

The fourth proportional to 285.73, 430.11 and 243.97 is: 367.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.73 : 430.11 = 243.97 : x
  2. Step 2: Convert to fraction form
    285.73/430.11 = 243.97/x
  3. Step 3: Cross multiply
    285.73x = 430.11 × 243.97
  4. Step 4: Simplify right side
    285.73x = 104,933.94
  5. Step 5: Solve for x
    x = 104,933.94/285.73
  6. Step 6: Final answer
    x = 367.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.