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Finding the Fourth Proportional to 365.28, 548.02 and 149.01

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Solution

The fourth proportional to 365.28, 548.02 and 149.01 is: 223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.28 : 548.02 = 149.01 : x
  2. Step 2: Convert to fraction form
    365.28/548.02 = 149.01/x
  3. Step 3: Cross multiply
    365.28x = 548.02 × 149.01
  4. Step 4: Simplify right side
    365.28x = 81,660.46
  5. Step 5: Solve for x
    x = 81,660.46/365.28
  6. Step 6: Final answer
    x = 223.56

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