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Finding the Fourth Proportional to 177.78, 264.73 and 175.73

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Solution

The fourth proportional to 177.78, 264.73 and 175.73 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 264.73 = 175.73 : x
  2. Step 2: Convert to fraction form
    177.78/264.73 = 175.73/x
  3. Step 3: Cross multiply
    177.78x = 264.73 × 175.73
  4. Step 4: Simplify right side
    177.78x = 46,521.00
  5. Step 5: Solve for x
    x = 46,521.00/177.78
  6. Step 6: Final answer
    x = 261.68

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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.