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Finding the Fourth Proportional to 164.47, 247.67 and 119.14

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Solution

The fourth proportional to 164.47, 247.67 and 119.14 is: 179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.47 : 247.67 = 119.14 : x
  2. Step 2: Convert to fraction form
    164.47/247.67 = 119.14/x
  3. Step 3: Cross multiply
    164.47x = 247.67 × 119.14
  4. Step 4: Simplify right side
    164.47x = 29,507.40
  5. Step 5: Solve for x
    x = 29,507.40/164.47
  6. Step 6: Final answer
    x = 179.41

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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.