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Finding the Fourth Proportional to 426.96, 589.50 and 344.52

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Solution

The fourth proportional to 426.96, 589.50 and 344.52 is: 475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.96 : 589.50 = 344.52 : x
  2. Step 2: Convert to fraction form
    426.96/589.50 = 344.52/x
  3. Step 3: Cross multiply
    426.96x = 589.50 × 344.52
  4. Step 4: Simplify right side
    426.96x = 203,094.54
  5. Step 5: Solve for x
    x = 203,094.54/426.96
  6. Step 6: Final answer
    x = 475.68

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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.