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Finding the Fourth Proportional to 180.47, 270.51 and 77.82

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Solution

The fourth proportional to 180.47, 270.51 and 77.82 is: 116.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.47 : 270.51 = 77.82 : x
  2. Step 2: Convert to fraction form
    180.47/270.51 = 77.82/x
  3. Step 3: Cross multiply
    180.47x = 270.51 × 77.82
  4. Step 4: Simplify right side
    180.47x = 21,051.09
  5. Step 5: Solve for x
    x = 21,051.09/180.47
  6. Step 6: Final answer
    x = 116.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.