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Finding the Fourth Proportional to 201.24, 302.13 and 147.24

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Solution

The fourth proportional to 201.24, 302.13 and 147.24 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.24 : 302.13 = 147.24 : x
  2. Step 2: Convert to fraction form
    201.24/302.13 = 147.24/x
  3. Step 3: Cross multiply
    201.24x = 302.13 × 147.24
  4. Step 4: Simplify right side
    201.24x = 44,485.62
  5. Step 5: Solve for x
    x = 44,485.62/201.24
  6. Step 6: Final answer
    x = 221.06

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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.