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Finding the Fourth Proportional to 137.60, 188.32 and 136.16

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Solution

The fourth proportional to 137.60, 188.32 and 136.16 is: 186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.60 : 188.32 = 136.16 : x
  2. Step 2: Convert to fraction form
    137.60/188.32 = 136.16/x
  3. Step 3: Cross multiply
    137.60x = 188.32 × 136.16
  4. Step 4: Simplify right side
    137.60x = 25,641.65
  5. Step 5: Solve for x
    x = 25,641.65/137.60
  6. Step 6: Final answer
    x = 186.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.