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Finding the Fourth Proportional to 285.30, 427.71 and 111.87

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Solution

The fourth proportional to 285.30, 427.71 and 111.87 is: 167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.30 : 427.71 = 111.87 : x
  2. Step 2: Convert to fraction form
    285.30/427.71 = 111.87/x
  3. Step 3: Cross multiply
    285.30x = 427.71 × 111.87
  4. Step 4: Simplify right side
    285.30x = 47,847.92
  5. Step 5: Solve for x
    x = 47,847.92/285.30
  6. Step 6: Final answer
    x = 167.71

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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.