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Finding the Fourth Proportional to 426.83, 589.16 and 269.49

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Solution

The fourth proportional to 426.83, 589.16 and 269.49 is: 371.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.83 : 589.16 = 269.49 : x
  2. Step 2: Convert to fraction form
    426.83/589.16 = 269.49/x
  3. Step 3: Cross multiply
    426.83x = 589.16 × 269.49
  4. Step 4: Simplify right side
    426.83x = 158,772.73
  5. Step 5: Solve for x
    x = 158,772.73/426.83
  6. Step 6: Final answer
    x = 371.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.