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Finding the Fourth Proportional to 120.47, 181.71 and 116.82

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Solution

The fourth proportional to 120.47, 181.71 and 116.82 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.47 : 181.71 = 116.82 : x
  2. Step 2: Convert to fraction form
    120.47/181.71 = 116.82/x
  3. Step 3: Cross multiply
    120.47x = 181.71 × 116.82
  4. Step 4: Simplify right side
    120.47x = 21,227.36
  5. Step 5: Solve for x
    x = 21,227.36/120.47
  6. Step 6: Final answer
    x = 176.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.