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Finding the Fourth Proportional to 343.93, 474.85 and 213.02

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Solution

The fourth proportional to 343.93, 474.85 and 213.02 is: 294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.93 : 474.85 = 213.02 : x
  2. Step 2: Convert to fraction form
    343.93/474.85 = 213.02/x
  3. Step 3: Cross multiply
    343.93x = 474.85 × 213.02
  4. Step 4: Simplify right side
    343.93x = 101,149.64
  5. Step 5: Solve for x
    x = 101,149.64/343.93
  6. Step 6: Final answer
    x = 294.10

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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.