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Finding the Fourth Proportional to 402.82, 554.66 and 343.70

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Solution

The fourth proportional to 402.82, 554.66 and 343.70 is: 473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.82 : 554.66 = 343.70 : x
  2. Step 2: Convert to fraction form
    402.82/554.66 = 343.70/x
  3. Step 3: Cross multiply
    402.82x = 554.66 × 343.70
  4. Step 4: Simplify right side
    402.82x = 190,636.64
  5. Step 5: Solve for x
    x = 190,636.64/402.82
  6. Step 6: Final answer
    x = 473.26

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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.