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Finding the Fourth Proportional to 136.90, 188.82 and 100.00

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Solution

The fourth proportional to 136.90, 188.82 and 100.00 is: 137.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.90 : 188.82 = 100.00 : x
  2. Step 2: Convert to fraction form
    136.90/188.82 = 100.00/x
  3. Step 3: Cross multiply
    136.90x = 188.82 × 100.00
  4. Step 4: Simplify right side
    136.90x = 18,881.06
  5. Step 5: Solve for x
    x = 18,881.06/136.90
  6. Step 6: Final answer
    x = 137.92

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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.