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Finding the Fourth Proportional to 402.13, 554.56 and 355.33

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Solution

The fourth proportional to 402.13, 554.56 and 355.33 is: 490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 554.56 = 355.33 : x
  2. Step 2: Convert to fraction form
    402.13/554.56 = 355.33/x
  3. Step 3: Cross multiply
    402.13x = 554.56 × 355.33
  4. Step 4: Simplify right side
    402.13x = 197,051.80
  5. Step 5: Solve for x
    x = 197,051.80/402.13
  6. Step 6: Final answer
    x = 490.02

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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.