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Finding the Fourth Proportional to 283.98, 391.89 and 165.98

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Solution

The fourth proportional to 283.98, 391.89 and 165.98 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.98 : 391.89 = 165.98 : x
  2. Step 2: Convert to fraction form
    283.98/391.89 = 165.98/x
  3. Step 3: Cross multiply
    283.98x = 391.89 × 165.98
  4. Step 4: Simplify right side
    283.98x = 65,045.90
  5. Step 5: Solve for x
    x = 65,045.90/283.98
  6. Step 6: Final answer
    x = 229.05

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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.