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Finding the Fourth Proportional to 204.70, 307.36 and 177.36

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Solution

The fourth proportional to 204.70, 307.36 and 177.36 is: 266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.70 : 307.36 = 177.36 : x
  2. Step 2: Convert to fraction form
    204.70/307.36 = 177.36/x
  3. Step 3: Cross multiply
    204.70x = 307.36 × 177.36
  4. Step 4: Simplify right side
    204.70x = 54,513.37
  5. Step 5: Solve for x
    x = 54,513.37/204.70
  6. Step 6: Final answer
    x = 266.31

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Why These Related Problems?

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