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Finding the Fourth Proportional to 343.99, 474.80 and 211.26

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Solution

The fourth proportional to 343.99, 474.80 and 211.26 is: 291.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.99 : 474.80 = 211.26 : x
  2. Step 2: Convert to fraction form
    343.99/474.80 = 211.26/x
  3. Step 3: Cross multiply
    343.99x = 474.80 × 211.26
  4. Step 4: Simplify right side
    343.99x = 100,306.25
  5. Step 5: Solve for x
    x = 100,306.25/343.99
  6. Step 6: Final answer
    x = 291.60

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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.