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Finding the Fourth Proportional to 467.68, 645.04 and 343.30

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Solution

The fourth proportional to 467.68, 645.04 and 343.30 is: 473.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.68 : 645.04 = 343.30 : x
  2. Step 2: Convert to fraction form
    467.68/645.04 = 343.30/x
  3. Step 3: Cross multiply
    467.68x = 645.04 × 343.30
  4. Step 4: Simplify right side
    467.68x = 221,439.87
  5. Step 5: Solve for x
    x = 221,439.87/467.68
  6. Step 6: Final answer
    x = 473.49

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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.