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Finding the Fourth Proportional to 401.91, 554.45 and 261.97

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Solution

The fourth proportional to 401.91, 554.45 and 261.97 is: 361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.91 : 554.45 = 261.97 : x
  2. Step 2: Convert to fraction form
    401.91/554.45 = 261.97/x
  3. Step 3: Cross multiply
    401.91x = 554.45 × 261.97
  4. Step 4: Simplify right side
    401.91x = 145,246.57
  5. Step 5: Solve for x
    x = 145,246.57/401.91
  6. Step 6: Final answer
    x = 361.39

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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.