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Finding the Fourth Proportional to 201.39, 303.46 and 167.91

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Solution

The fourth proportional to 201.39, 303.46 and 167.91 is: 253.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.39 : 303.46 = 167.91 : x
  2. Step 2: Convert to fraction form
    201.39/303.46 = 167.91/x
  3. Step 3: Cross multiply
    201.39x = 303.46 × 167.91
  4. Step 4: Simplify right side
    201.39x = 50,953.97
  5. Step 5: Solve for x
    x = 50,953.97/201.39
  6. Step 6: Final answer
    x = 253.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.