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Finding the Fourth Proportional to 149.28, 203.24 and 148.80

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Solution

The fourth proportional to 149.28, 203.24 and 148.80 is: 202.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.28 : 203.24 = 148.80 : x
  2. Step 2: Convert to fraction form
    149.28/203.24 = 148.80/x
  3. Step 3: Cross multiply
    149.28x = 203.24 × 148.80
  4. Step 4: Simplify right side
    149.28x = 30,242.11
  5. Step 5: Solve for x
    x = 30,242.11/149.28
  6. Step 6: Final answer
    x = 202.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.