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Finding the Fourth Proportional to 398.93, 598.40 and 142.25

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Solution

The fourth proportional to 398.93, 598.40 and 142.25 is: 213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.93 : 598.40 = 142.25 : x
  2. Step 2: Convert to fraction form
    398.93/598.40 = 142.25/x
  3. Step 3: Cross multiply
    398.93x = 598.40 × 142.25
  4. Step 4: Simplify right side
    398.93x = 85,122.40
  5. Step 5: Solve for x
    x = 85,122.40/398.93
  6. Step 6: Final answer
    x = 213.38

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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.