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Finding the Fourth Proportional to 149.76, 225.63 and 138.24

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Solution

The fourth proportional to 149.76, 225.63 and 138.24 is: 208.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 225.63 = 138.24 : x
  2. Step 2: Convert to fraction form
    149.76/225.63 = 138.24/x
  3. Step 3: Cross multiply
    149.76x = 225.63 × 138.24
  4. Step 4: Simplify right side
    149.76x = 31,191.09
  5. Step 5: Solve for x
    x = 31,191.09/149.76
  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.