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Finding the Fourth Proportional to 398.93, 597.62 and 261.56

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Solution

The fourth proportional to 398.93, 597.62 and 261.56 is: 391.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.93 : 597.62 = 261.56 : x
  2. Step 2: Convert to fraction form
    398.93/597.62 = 261.56/x
  3. Step 3: Cross multiply
    398.93x = 597.62 × 261.56
  4. Step 4: Simplify right side
    398.93x = 156,313.65
  5. Step 5: Solve for x
    x = 156,313.65/398.93
  6. Step 6: Final answer
    x = 391.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.