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Finding the Fourth Proportional to 177.20, 263.52 and 175.38

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Solution

The fourth proportional to 177.20, 263.52 and 175.38 is: 260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.20 : 263.52 = 175.38 : x
  2. Step 2: Convert to fraction form
    177.20/263.52 = 175.38/x
  3. Step 3: Cross multiply
    177.20x = 263.52 × 175.38
  4. Step 4: Simplify right side
    177.20x = 46,216.14
  5. Step 5: Solve for x
    x = 46,216.14/177.20
  6. Step 6: Final answer
    x = 260.81

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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.