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Finding the Fourth Proportional to 148.11, 204.48 and 106.64

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Solution

The fourth proportional to 148.11, 204.48 and 106.64 is: 147.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.11 : 204.48 = 106.64 : x
  2. Step 2: Convert to fraction form
    148.11/204.48 = 106.64/x
  3. Step 3: Cross multiply
    148.11x = 204.48 × 106.64
  4. Step 4: Simplify right side
    148.11x = 21,804.72
  5. Step 5: Solve for x
    x = 21,804.72/148.11
  6. Step 6: Final answer
    x = 147.22

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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.