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Finding the Fourth Proportional to 136.73, 205.03 and 45.40

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Solution

The fourth proportional to 136.73, 205.03 and 45.40 is: 68.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.73 : 205.03 = 45.40 : x
  2. Step 2: Convert to fraction form
    136.73/205.03 = 45.40/x
  3. Step 3: Cross multiply
    136.73x = 205.03 × 45.40
  4. Step 4: Simplify right side
    136.73x = 9,308.36
  5. Step 5: Solve for x
    x = 9,308.36/136.73
  6. Step 6: Final answer
    x = 68.08

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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.