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Finding the Fourth Proportional to 164.97, 246.38 and 151.20

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Solution

The fourth proportional to 164.97, 246.38 and 151.20 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.97 : 246.38 = 151.20 : x
  2. Step 2: Convert to fraction form
    164.97/246.38 = 151.20/x
  3. Step 3: Cross multiply
    164.97x = 246.38 × 151.20
  4. Step 4: Simplify right side
    164.97x = 37,251.90
  5. Step 5: Solve for x
    x = 37,251.90/164.97
  6. Step 6: Final answer
    x = 225.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.