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Finding the Fourth Proportional to 289.70, 401.47 and 284.22

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Solution

The fourth proportional to 289.70, 401.47 and 284.22 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 401.47 = 284.22 : x
  2. Step 2: Convert to fraction form
    289.70/401.47 = 284.22/x
  3. Step 3: Cross multiply
    289.70x = 401.47 × 284.22
  4. Step 4: Simplify right side
    289.70x = 114,105.80
  5. Step 5: Solve for x
    x = 114,105.80/289.70
  6. Step 6: Final answer
    x = 393.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.