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Finding the Fourth Proportional to 283.04, 390.65 and 165

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Solution

The fourth proportional to 283.04, 390.65 and 165 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 390.65 = 165 : x
  2. Step 2: Convert to fraction form
    283.04/390.65 = 165/x
  3. Step 3: Cross multiply
    283.04x = 390.65 × 165
  4. Step 4: Simplify right side
    283.04x = 64,456.43
  5. Step 5: Solve for x
    x = 64,456.43/283.04
  6. Step 6: Final answer
    x = 227.73

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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.