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Finding the Fourth Proportional to 343.45, 473.82 and 277.23

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Solution

The fourth proportional to 343.45, 473.82 and 277.23 is: 382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.45 : 473.82 = 277.23 : x
  2. Step 2: Convert to fraction form
    343.45/473.82 = 277.23/x
  3. Step 3: Cross multiply
    343.45x = 473.82 × 277.23
  4. Step 4: Simplify right side
    343.45x = 131,357.12
  5. Step 5: Solve for x
    x = 131,357.12/343.45
  6. Step 6: Final answer
    x = 382.46

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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.