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Finding the Fourth Proportional to 180.87, 268.86 and 175.41

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Solution

The fourth proportional to 180.87, 268.86 and 175.41 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.87 : 268.86 = 175.41 : x
  2. Step 2: Convert to fraction form
    180.87/268.86 = 175.41/x
  3. Step 3: Cross multiply
    180.87x = 268.86 × 175.41
  4. Step 4: Simplify right side
    180.87x = 47,160.73
  5. Step 5: Solve for x
    x = 47,160.73/180.87
  6. Step 6: Final answer
    x = 260.74

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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.