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Finding the Fourth Proportional to 285.36, 428.72 and 169.89

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Solution

The fourth proportional to 285.36, 428.72 and 169.89 is: 255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.36 : 428.72 = 169.89 : x
  2. Step 2: Convert to fraction form
    285.36/428.72 = 169.89/x
  3. Step 3: Cross multiply
    285.36x = 428.72 × 169.89
  4. Step 4: Simplify right side
    285.36x = 72,834.39
  5. Step 5: Solve for x
    x = 72,834.39/285.36
  6. Step 6: Final answer
    x = 255.24

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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.