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Finding the Fourth Proportional to 283.21, 390.82 and 165.20

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Solution

The fourth proportional to 283.21, 390.82 and 165.20 is: 227.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.21 : 390.82 = 165.20 : x
  2. Step 2: Convert to fraction form
    283.21/390.82 = 165.20/x
  3. Step 3: Cross multiply
    283.21x = 390.82 × 165.20
  4. Step 4: Simplify right side
    283.21x = 64,563.46
  5. Step 5: Solve for x
    x = 64,563.46/283.21
  6. Step 6: Final answer
    x = 227.97

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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.