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Finding the Fourth Proportional to 399.15, 597.94 and 261.78

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Solution

The fourth proportional to 399.15, 597.94 and 261.78 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.15 : 597.94 = 261.78 : x
  2. Step 2: Convert to fraction form
    399.15/597.94 = 261.78/x
  3. Step 3: Cross multiply
    399.15x = 597.94 × 261.78
  4. Step 4: Simplify right side
    399.15x = 156,524.43
  5. Step 5: Solve for x
    x = 156,524.43/399.15
  6. Step 6: Final answer
    x = 392.15

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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.