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Finding the Fourth Proportional to 426.47, 585.98 and 338.99

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Solution

The fourth proportional to 426.47, 585.98 and 338.99 is: 465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 585.98 = 338.99 : x
  2. Step 2: Convert to fraction form
    426.47/585.98 = 338.99/x
  3. Step 3: Cross multiply
    426.47x = 585.98 × 338.99
  4. Step 4: Simplify right side
    426.47x = 198,644.62
  5. Step 5: Solve for x
    x = 198,644.62/426.47
  6. Step 6: Final answer
    x = 465.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.