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Finding the Fourth Proportional to 285.61, 427.96 and 169.78

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Solution

The fourth proportional to 285.61, 427.96 and 169.78 is: 254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.61 : 427.96 = 169.78 : x
  2. Step 2: Convert to fraction form
    285.61/427.96 = 169.78/x
  3. Step 3: Cross multiply
    285.61x = 427.96 × 169.78
  4. Step 4: Simplify right side
    285.61x = 72,659.05
  5. Step 5: Solve for x
    x = 72,659.05/285.61
  6. Step 6: Final answer
    x = 254.40

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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.