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Finding the Fourth Proportional to 402.36, 552.45 and 339.93

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Solution

The fourth proportional to 402.36, 552.45 and 339.93 is: 466.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.36 : 552.45 = 339.93 : x
  2. Step 2: Convert to fraction form
    402.36/552.45 = 339.93/x
  3. Step 3: Cross multiply
    402.36x = 552.45 × 339.93
  4. Step 4: Simplify right side
    402.36x = 187,794.33
  5. Step 5: Solve for x
    x = 187,794.33/402.36
  6. Step 6: Final answer
    x = 466.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.