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Finding the Fourth Proportional to 427.24, 637.81 and 381.11

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Solution

The fourth proportional to 427.24, 637.81 and 381.11 is: 568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.24 : 637.81 = 381.11 : x
  2. Step 2: Convert to fraction form
    427.24/637.81 = 381.11/x
  3. Step 3: Cross multiply
    427.24x = 637.81 × 381.11
  4. Step 4: Simplify right side
    427.24x = 243,071.63
  5. Step 5: Solve for x
    x = 243,071.63/427.24
  6. Step 6: Final answer
    x = 568.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.