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Finding the Fourth Proportional to 441.53, 608.74 and 343.11

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Solution

The fourth proportional to 441.53, 608.74 and 343.11 is: 473.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.53 : 608.74 = 343.11 : x
  2. Step 2: Convert to fraction form
    441.53/608.74 = 343.11/x
  3. Step 3: Cross multiply
    441.53x = 608.74 × 343.11
  4. Step 4: Simplify right side
    441.53x = 208,864.78
  5. Step 5: Solve for x
    x = 208,864.78/441.53
  6. Step 6: Final answer
    x = 473.05

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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.