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Finding the Fourth Proportional to 285.89, 429.80 and 234.92

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Solution

The fourth proportional to 285.89, 429.80 and 234.92 is: 353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.89 : 429.80 = 234.92 : x
  2. Step 2: Convert to fraction form
    285.89/429.80 = 234.92/x
  3. Step 3: Cross multiply
    285.89x = 429.80 × 234.92
  4. Step 4: Simplify right side
    285.89x = 100,965.29
  5. Step 5: Solve for x
    x = 100,965.29/285.89
  6. Step 6: Final answer
    x = 353.16

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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.