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Finding the Fourth Proportional to 201.92, 303.99 and 148.20

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Solution

The fourth proportional to 201.92, 303.99 and 148.20 is: 223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 303.99 = 148.20 : x
  2. Step 2: Convert to fraction form
    201.92/303.99 = 148.20/x
  3. Step 3: Cross multiply
    201.92x = 303.99 × 148.20
  4. Step 4: Simplify right side
    201.92x = 45,051.32
  5. Step 5: Solve for x
    x = 45,051.32/201.92
  6. Step 6: Final answer
    x = 223.11

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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.