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Finding the Fourth Proportional to 402.44, 554.10 and 355.12

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Solution

The fourth proportional to 402.44, 554.10 and 355.12 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.44 : 554.10 = 355.12 : x
  2. Step 2: Convert to fraction form
    402.44/554.10 = 355.12/x
  3. Step 3: Cross multiply
    402.44x = 554.10 × 355.12
  4. Step 4: Simplify right side
    402.44x = 196,771.99
  5. Step 5: Solve for x
    x = 196,771.99/402.44
  6. Step 6: Final answer
    x = 488.95

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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.