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Finding the Fourth Proportional to 151.14, 225.64 and 138.16

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Solution

The fourth proportional to 151.14, 225.64 and 138.16 is: 206.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.14 : 225.64 = 138.16 : x
  2. Step 2: Convert to fraction form
    151.14/225.64 = 138.16/x
  3. Step 3: Cross multiply
    151.14x = 225.64 × 138.16
  4. Step 4: Simplify right side
    151.14x = 31,173.73
  5. Step 5: Solve for x
    x = 31,173.73/151.14
  6. Step 6: Final answer
    x = 206.26

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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.