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Finding the Fourth Proportional to 402.78, 553.98 and 367.95

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Solution

The fourth proportional to 402.78, 553.98 and 367.95 is: 506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.78 : 553.98 = 367.95 : x
  2. Step 2: Convert to fraction form
    402.78/553.98 = 367.95/x
  3. Step 3: Cross multiply
    402.78x = 553.98 × 367.95
  4. Step 4: Simplify right side
    402.78x = 203,836.94
  5. Step 5: Solve for x
    x = 203,836.94/402.78
  6. Step 6: Final answer
    x = 506.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.