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Finding the Fourth Proportional to 180.84, 271.06 and 78.17

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Solution

The fourth proportional to 180.84, 271.06 and 78.17 is: 117.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.84 : 271.06 = 78.17 : x
  2. Step 2: Convert to fraction form
    180.84/271.06 = 78.17/x
  3. Step 3: Cross multiply
    180.84x = 271.06 × 78.17
  4. Step 4: Simplify right side
    180.84x = 21,189.24
  5. Step 5: Solve for x
    x = 21,189.24/180.84
  6. Step 6: Final answer
    x = 117.17

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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.