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Finding the Fourth Proportional to 150.36, 226.53 and 138.24

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Solution

The fourth proportional to 150.36, 226.53 and 138.24 is: 208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.36 : 226.53 = 138.24 : x
  2. Step 2: Convert to fraction form
    150.36/226.53 = 138.24/x
  3. Step 3: Cross multiply
    150.36x = 226.53 × 138.24
  4. Step 4: Simplify right side
    150.36x = 31,315.51
  5. Step 5: Solve for x
    x = 31,315.51/150.36
  6. Step 6: Final answer
    x = 208.27

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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.