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Finding the Fourth Proportional to 149.51, 225.13 and 111.26

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Solution

The fourth proportional to 149.51, 225.13 and 111.26 is: 167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.51 : 225.13 = 111.26 : x
  2. Step 2: Convert to fraction form
    149.51/225.13 = 111.26/x
  3. Step 3: Cross multiply
    149.51x = 225.13 × 111.26
  4. Step 4: Simplify right side
    149.51x = 25,047.96
  5. Step 5: Solve for x
    x = 25,047.96/149.51
  6. Step 6: Final answer
    x = 167.53

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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.