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Finding the Fourth Proportional to 399.18, 597.99 and 261.80

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Solution

The fourth proportional to 399.18, 597.99 and 261.80 is: 392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.18 : 597.99 = 261.80 : x
  2. Step 2: Convert to fraction form
    399.18/597.99 = 261.80/x
  3. Step 3: Cross multiply
    399.18x = 597.99 × 261.80
  4. Step 4: Simplify right side
    399.18x = 156,555.91
  5. Step 5: Solve for x
    x = 156,555.91/399.18
  6. Step 6: Final answer
    x = 392.20

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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.