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Finding the Fourth Proportional to 427.41, 643.41 and 367.88

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Solution

The fourth proportional to 427.41, 643.41 and 367.88 is: 553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.41 : 643.41 = 367.88 : x
  2. Step 2: Convert to fraction form
    427.41/643.41 = 367.88/x
  3. Step 3: Cross multiply
    427.41x = 643.41 × 367.88
  4. Step 4: Simplify right side
    427.41x = 236,694.45
  5. Step 5: Solve for x
    x = 236,694.45/427.41
  6. Step 6: Final answer
    x = 553.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.