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Finding the Fourth Proportional to 283.47, 391.14 and 167.01

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Solution

The fourth proportional to 283.47, 391.14 and 167.01 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.47 : 391.14 = 167.01 : x
  2. Step 2: Convert to fraction form
    283.47/391.14 = 167.01/x
  3. Step 3: Cross multiply
    283.47x = 391.14 × 167.01
  4. Step 4: Simplify right side
    283.47x = 65,324.29
  5. Step 5: Solve for x
    x = 65,324.29/283.47
  6. Step 6: Final answer
    x = 230.45

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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.