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Finding the Fourth Proportional to 447.84, 618.12 and 343.08

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Solution

The fourth proportional to 447.84, 618.12 and 343.08 is: 473.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.84 : 618.12 = 343.08 : x
  2. Step 2: Convert to fraction form
    447.84/618.12 = 343.08/x
  3. Step 3: Cross multiply
    447.84x = 618.12 × 343.08
  4. Step 4: Simplify right side
    447.84x = 212,064.61
  5. Step 5: Solve for x
    x = 212,064.61/447.84
  6. Step 6: Final answer
    x = 473.53

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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.