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Finding the Fourth Proportional to 285.74, 428.82 and 170.12

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Solution

The fourth proportional to 285.74, 428.82 and 170.12 is: 255.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.74 : 428.82 = 170.12 : x
  2. Step 2: Convert to fraction form
    285.74/428.82 = 170.12/x
  3. Step 3: Cross multiply
    285.74x = 428.82 × 170.12
  4. Step 4: Simplify right side
    285.74x = 72,950.86
  5. Step 5: Solve for x
    x = 72,950.86/285.74
  6. Step 6: Final answer
    x = 255.31

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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.