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Finding the Fourth Proportional to 100.88, 150.47 and 92.11

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Solution

The fourth proportional to 100.88, 150.47 and 92.11 is: 137.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.88 : 150.47 = 92.11 : x
  2. Step 2: Convert to fraction form
    100.88/150.47 = 92.11/x
  3. Step 3: Cross multiply
    100.88x = 150.47 × 92.11
  4. Step 4: Simplify right side
    100.88x = 13,858.58
  5. Step 5: Solve for x
    x = 13,858.58/100.88
  6. Step 6: Final answer
    x = 137.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.