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Finding the Fourth Proportional to 343.85, 474.32 and 212.94

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Solution

The fourth proportional to 343.85, 474.32 and 212.94 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 474.32 = 212.94 : x
  2. Step 2: Convert to fraction form
    343.85/474.32 = 212.94/x
  3. Step 3: Cross multiply
    343.85x = 474.32 × 212.94
  4. Step 4: Simplify right side
    343.85x = 101,002.23
  5. Step 5: Solve for x
    x = 101,002.23/343.85
  6. Step 6: Final answer
    x = 293.74

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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.