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Finding the Fourth Proportional to 401.26, 554 and 284.62

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Solution

The fourth proportional to 401.26, 554 and 284.62 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.26 : 554 = 284.62 : x
  2. Step 2: Convert to fraction form
    401.26/554 = 284.62/x
  3. Step 3: Cross multiply
    401.26x = 554 × 284.62
  4. Step 4: Simplify right side
    401.26x = 157,679.48
  5. Step 5: Solve for x
    x = 157,679.48/401.26
  6. Step 6: Final answer
    x = 392.96

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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.