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Finding the Fourth Proportional to 343.97, 473.99 and 304.33

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Solution

The fourth proportional to 343.97, 473.99 and 304.33 is: 419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.97 : 473.99 = 304.33 : x
  2. Step 2: Convert to fraction form
    343.97/473.99 = 304.33/x
  3. Step 3: Cross multiply
    343.97x = 473.99 × 304.33
  4. Step 4: Simplify right side
    343.97x = 144,248.95
  5. Step 5: Solve for x
    x = 144,248.95/343.97
  6. Step 6: Final answer
    x = 419.36

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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.