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Finding the Fourth Proportional to 148.57, 223.72 and 110.33

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Solution

The fourth proportional to 148.57, 223.72 and 110.33 is: 166.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.57 : 223.72 = 110.33 : x
  2. Step 2: Convert to fraction form
    148.57/223.72 = 110.33/x
  3. Step 3: Cross multiply
    148.57x = 223.72 × 110.33
  4. Step 4: Simplify right side
    148.57x = 24,683.09
  5. Step 5: Solve for x
    x = 24,683.09/148.57
  6. Step 6: Final answer
    x = 166.13

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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.