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Finding the Fourth Proportional to 343.09, 473.45 and 203.21

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Solution

The fourth proportional to 343.09, 473.45 and 203.21 is: 280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.09 : 473.45 = 203.21 : x
  2. Step 2: Convert to fraction form
    343.09/473.45 = 203.21/x
  3. Step 3: Cross multiply
    343.09x = 473.45 × 203.21
  4. Step 4: Simplify right side
    343.09x = 96,208.17
  5. Step 5: Solve for x
    x = 96,208.17/343.09
  6. Step 6: Final answer
    x = 280.42

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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.