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Finding the Fourth Proportional to 151.25, 226.94 and 140.00

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Solution

The fourth proportional to 151.25, 226.94 and 140.00 is: 210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.25 : 226.94 = 140.00 : x
  2. Step 2: Convert to fraction form
    151.25/226.94 = 140.00/x
  3. Step 3: Cross multiply
    151.25x = 226.94 × 140.00
  4. Step 4: Simplify right side
    151.25x = 31,769.77
  5. Step 5: Solve for x
    x = 31,769.77/151.25
  6. Step 6: Final answer
    x = 210.05

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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.