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Finding the Fourth Proportional to 201.48, 301.78 and 147.25

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Solution

The fourth proportional to 201.48, 301.78 and 147.25 is: 220.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.48 : 301.78 = 147.25 : x
  2. Step 2: Convert to fraction form
    201.48/301.78 = 147.25/x
  3. Step 3: Cross multiply
    201.48x = 301.78 × 147.25
  4. Step 4: Simplify right side
    201.48x = 44,437.11
  5. Step 5: Solve for x
    x = 44,437.11/201.48
  6. Step 6: Final answer
    x = 220.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.