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Finding the Fourth Proportional to 429.97, 647.27 and 367.33

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Solution

The fourth proportional to 429.97, 647.27 and 367.33 is: 552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.97 : 647.27 = 367.33 : x
  2. Step 2: Convert to fraction form
    429.97/647.27 = 367.33/x
  3. Step 3: Cross multiply
    429.97x = 647.27 × 367.33
  4. Step 4: Simplify right side
    429.97x = 237,760.77
  5. Step 5: Solve for x
    x = 237,760.77/429.97
  6. Step 6: Final answer
    x = 552.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.