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Finding the Fourth Proportional to 288.90, 400.35 and 283.44

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Solution

The fourth proportional to 288.90, 400.35 and 283.44 is: 392.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.90 : 400.35 = 283.44 : x
  2. Step 2: Convert to fraction form
    288.90/400.35 = 283.44/x
  3. Step 3: Cross multiply
    288.90x = 400.35 × 283.44
  4. Step 4: Simplify right side
    288.90x = 113,475.20
  5. Step 5: Solve for x
    x = 113,475.20/288.90
  6. Step 6: Final answer
    x = 392.78

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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.