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Finding the Fourth Proportional to 285.69, 426.30 and 268.28

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Solution

The fourth proportional to 285.69, 426.30 and 268.28 is: 400.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.69 : 426.30 = 268.28 : x
  2. Step 2: Convert to fraction form
    285.69/426.30 = 268.28/x
  3. Step 3: Cross multiply
    285.69x = 426.30 × 268.28
  4. Step 4: Simplify right side
    285.69x = 114,367.76
  5. Step 5: Solve for x
    x = 114,367.76/285.69
  6. Step 6: Final answer
    x = 400.32

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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.