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Finding the Fourth Proportional to 148.15, 204.42 and 111.23

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Solution

The fourth proportional to 148.15, 204.42 and 111.23 is: 153.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.15 : 204.42 = 111.23 : x
  2. Step 2: Convert to fraction form
    148.15/204.42 = 111.23/x
  3. Step 3: Cross multiply
    148.15x = 204.42 × 111.23
  4. Step 4: Simplify right side
    148.15x = 22,737.64
  5. Step 5: Solve for x
    x = 22,737.64/148.15
  6. Step 6: Final answer
    x = 153.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.