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Finding the Fourth Proportional to 131.73, 180.63 and 128.66

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Solution

The fourth proportional to 131.73, 180.63 and 128.66 is: 176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.73 : 180.63 = 128.66 : x
  2. Step 2: Convert to fraction form
    131.73/180.63 = 128.66/x
  3. Step 3: Cross multiply
    131.73x = 180.63 × 128.66
  4. Step 4: Simplify right side
    131.73x = 23,238.95
  5. Step 5: Solve for x
    x = 23,238.95/131.73
  6. Step 6: Final answer
    x = 176.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.