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Finding the Fourth Proportional to 201.88, 301.19 and 176.16

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Solution

The fourth proportional to 201.88, 301.19 and 176.16 is: 262.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.88 : 301.19 = 176.16 : x
  2. Step 2: Convert to fraction form
    201.88/301.19 = 176.16/x
  3. Step 3: Cross multiply
    201.88x = 301.19 × 176.16
  4. Step 4: Simplify right side
    201.88x = 53,057.63
  5. Step 5: Solve for x
    x = 53,057.63/201.88
  6. Step 6: Final answer
    x = 262.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.