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Finding the Fourth Proportional to 203.49, 303.60 and 177.78

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Solution

The fourth proportional to 203.49, 303.60 and 177.78 is: 265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.49 : 303.60 = 177.78 : x
  2. Step 2: Convert to fraction form
    203.49/303.60 = 177.78/x
  3. Step 3: Cross multiply
    203.49x = 303.60 × 177.78
  4. Step 4: Simplify right side
    203.49x = 53,974.01
  5. Step 5: Solve for x
    x = 53,974.01/203.49
  6. Step 6: Final answer
    x = 265.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.