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Finding the Fourth Proportional to 177.50, 264.83 and 173.39

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Solution

The fourth proportional to 177.50, 264.83 and 173.39 is: 258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.50 : 264.83 = 173.39 : x
  2. Step 2: Convert to fraction form
    177.50/264.83 = 173.39/x
  3. Step 3: Cross multiply
    177.50x = 264.83 × 173.39
  4. Step 4: Simplify right side
    177.50x = 45,917.98
  5. Step 5: Solve for x
    x = 45,917.98/177.50
  6. Step 6: Final answer
    x = 258.70

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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.