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Finding the Fourth Proportional to 427.11, 588.96 and 343.98

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Solution

The fourth proportional to 427.11, 588.96 and 343.98 is: 474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.11 : 588.96 = 343.98 : x
  2. Step 2: Convert to fraction form
    427.11/588.96 = 343.98/x
  3. Step 3: Cross multiply
    427.11x = 588.96 × 343.98
  4. Step 4: Simplify right side
    427.11x = 202,590.46
  5. Step 5: Solve for x
    x = 202,590.46/427.11
  6. Step 6: Final answer
    x = 474.33

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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.