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Finding the Fourth Proportional to 137.18, 205.69 and 101.13

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Solution

The fourth proportional to 137.18, 205.69 and 101.13 is: 151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.18 : 205.69 = 101.13 : x
  2. Step 2: Convert to fraction form
    137.18/205.69 = 101.13/x
  3. Step 3: Cross multiply
    137.18x = 205.69 × 101.13
  4. Step 4: Simplify right side
    137.18x = 20,801.43
  5. Step 5: Solve for x
    x = 20,801.43/137.18
  6. Step 6: Final answer
    x = 151.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.