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Finding the Fourth Proportional to 137.79, 190.17 and 100.89

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Solution

The fourth proportional to 137.79, 190.17 and 100.89 is: 139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 190.17 = 100.89 : x
  2. Step 2: Convert to fraction form
    137.79/190.17 = 100.89/x
  3. Step 3: Cross multiply
    137.79x = 190.17 × 100.89
  4. Step 4: Simplify right side
    137.79x = 19,186.25
  5. Step 5: Solve for x
    x = 19,186.25/137.79
  6. Step 6: Final answer
    x = 139.24

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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.