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Finding the Fourth Proportional to 343.85, 474.35 and 212.93

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Solution

The fourth proportional to 343.85, 474.35 and 212.93 is: 293.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.85 : 474.35 = 212.93 : x
  2. Step 2: Convert to fraction form
    343.85/474.35 = 212.93/x
  3. Step 3: Cross multiply
    343.85x = 474.35 × 212.93
  4. Step 4: Simplify right side
    343.85x = 100,999.91
  5. Step 5: Solve for x
    x = 100,999.91/343.85
  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.