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Finding the Fourth Proportional to 201.67, 301.04 and 187.22

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Solution

The fourth proportional to 201.67, 301.04 and 187.22 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.67 : 301.04 = 187.22 : x
  2. Step 2: Convert to fraction form
    201.67/301.04 = 187.22/x
  3. Step 3: Cross multiply
    201.67x = 301.04 × 187.22
  4. Step 4: Simplify right side
    201.67x = 56,360.71
  5. Step 5: Solve for x
    x = 56,360.71/201.67
  6. Step 6: Final answer
    x = 279.47

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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.