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Finding the Fourth Proportional to 285.62, 426.69 and 280.76

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Solution

The fourth proportional to 285.62, 426.69 and 280.76 is: 419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.62 : 426.69 = 280.76 : x
  2. Step 2: Convert to fraction form
    285.62/426.69 = 280.76/x
  3. Step 3: Cross multiply
    285.62x = 426.69 × 280.76
  4. Step 4: Simplify right side
    285.62x = 119,796.08
  5. Step 5: Solve for x
    x = 119,796.08/285.62
  6. Step 6: Final answer
    x = 419.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.