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Finding the Fourth Proportional to 401.21, 552.89 and 284.57

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Solution

The fourth proportional to 401.21, 552.89 and 284.57 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.21 : 552.89 = 284.57 : x
  2. Step 2: Convert to fraction form
    401.21/552.89 = 284.57/x
  3. Step 3: Cross multiply
    401.21x = 552.89 × 284.57
  4. Step 4: Simplify right side
    401.21x = 157,335.91
  5. Step 5: Solve for x
    x = 157,335.91/401.21
  6. Step 6: Final answer
    x = 392.15

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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.