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Finding the Fourth Proportional to 343.08, 473.21 and 212.01

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Solution

The fourth proportional to 343.08, 473.21 and 212.01 is: 292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.08 : 473.21 = 212.01 : x
  2. Step 2: Convert to fraction form
    343.08/473.21 = 212.01/x
  3. Step 3: Cross multiply
    343.08x = 473.21 × 212.01
  4. Step 4: Simplify right side
    343.08x = 100,325.78
  5. Step 5: Solve for x
    x = 100,325.78/343.08
  6. Step 6: Final answer
    x = 292.43

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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.