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Finding the Fourth Proportional to 180.77, 271.15 and 78.05

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Solution

The fourth proportional to 180.77, 271.15 and 78.05 is: 117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 271.15 = 78.05 : x
  2. Step 2: Convert to fraction form
    180.77/271.15 = 78.05/x
  3. Step 3: Cross multiply
    180.77x = 271.15 × 78.05
  4. Step 4: Simplify right side
    180.77x = 21,162.22
  5. Step 5: Solve for x
    x = 21,162.22/180.77
  6. Step 6: Final answer
    x = 117.07

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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.