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Finding the Fourth Proportional to 398.36, 598.36 and 261.60

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Solution

The fourth proportional to 398.36, 598.36 and 261.60 is: 392.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.36 : 598.36 = 261.60 : x
  2. Step 2: Convert to fraction form
    398.36/598.36 = 261.60/x
  3. Step 3: Cross multiply
    398.36x = 598.36 × 261.60
  4. Step 4: Simplify right side
    398.36x = 156,530.98
  5. Step 5: Solve for x
    x = 156,530.98/398.36
  6. Step 6: Final answer
    x = 392.94

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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.