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Finding the Fourth Proportional to 154.11, 212.56 and 107.47

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Solution

The fourth proportional to 154.11, 212.56 and 107.47 is: 148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.11 : 212.56 = 107.47 : x
  2. Step 2: Convert to fraction form
    154.11/212.56 = 107.47/x
  3. Step 3: Cross multiply
    154.11x = 212.56 × 107.47
  4. Step 4: Simplify right side
    154.11x = 22,843.82
  5. Step 5: Solve for x
    x = 22,843.82/154.11
  6. Step 6: Final answer
    x = 148.23

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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.