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Finding the Fourth Proportional to 283.51, 391.12 and 166.87

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Solution

The fourth proportional to 283.51, 391.12 and 166.87 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.51 : 391.12 = 166.87 : x
  2. Step 2: Convert to fraction form
    283.51/391.12 = 166.87/x
  3. Step 3: Cross multiply
    283.51x = 391.12 × 166.87
  4. Step 4: Simplify right side
    283.51x = 65,266.19
  5. Step 5: Solve for x
    x = 65,266.19/283.51
  6. Step 6: Final answer
    x = 230.21

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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.