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Finding the Fourth Proportional to 288.70, 400.08 and 283.22

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Solution

The fourth proportional to 288.70, 400.08 and 283.22 is: 392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.70 : 400.08 = 283.22 : x
  2. Step 2: Convert to fraction form
    288.70/400.08 = 283.22/x
  3. Step 3: Cross multiply
    288.70x = 400.08 × 283.22
  4. Step 4: Simplify right side
    288.70x = 113,310.66
  5. Step 5: Solve for x
    x = 113,310.66/288.70
  6. Step 6: Final answer
    x = 392.49

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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.