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Finding the Fourth Proportional to 203.70, 304.80 and 149.70

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Solution

The fourth proportional to 203.70, 304.80 and 149.70 is: 224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.70 : 304.80 = 149.70 : x
  2. Step 2: Convert to fraction form
    203.70/304.80 = 149.70/x
  3. Step 3: Cross multiply
    203.70x = 304.80 × 149.70
  4. Step 4: Simplify right side
    203.70x = 45,628.56
  5. Step 5: Solve for x
    x = 45,628.56/203.70
  6. Step 6: Final answer
    x = 224.00

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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.