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Finding the Fourth Proportional to 283.20, 390.28 and 248

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Solution

The fourth proportional to 283.20, 390.28 and 248 is: 341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.20 : 390.28 = 248 : x
  2. Step 2: Convert to fraction form
    283.20/390.28 = 248/x
  3. Step 3: Cross multiply
    283.20x = 390.28 × 248
  4. Step 4: Simplify right side
    283.20x = 96,789.44
  5. Step 5: Solve for x
    x = 96,789.44/283.20
  6. Step 6: Final answer
    x = 341.77

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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.