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Finding the Fourth Proportional to 398.58, 598.23 and 261.42

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Solution

The fourth proportional to 398.58, 598.23 and 261.42 is: 392.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.58 : 598.23 = 261.42 : x
  2. Step 2: Convert to fraction form
    398.58/598.23 = 261.42/x
  3. Step 3: Cross multiply
    398.58x = 598.23 × 261.42
  4. Step 4: Simplify right side
    398.58x = 156,389.29
  5. Step 5: Solve for x
    x = 156,389.29/398.58
  6. Step 6: Final answer
    x = 392.37

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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.