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Finding the Fourth Proportional to 151.23, 226.80 and 78.09

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Solution

The fourth proportional to 151.23, 226.80 and 78.09 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.23 : 226.80 = 78.09 : x
  2. Step 2: Convert to fraction form
    151.23/226.80 = 78.09/x
  3. Step 3: Cross multiply
    151.23x = 226.80 × 78.09
  4. Step 4: Simplify right side
    151.23x = 17,710.25
  5. Step 5: Solve for x
    x = 17,710.25/151.23
  6. Step 6: Final answer
    x = 117.11

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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.