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Finding the Fourth Proportional to 158.60, 236.74 and 137.07

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Solution

The fourth proportional to 158.60, 236.74 and 137.07 is: 204.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.60 : 236.74 = 137.07 : x
  2. Step 2: Convert to fraction form
    158.60/236.74 = 137.07/x
  3. Step 3: Cross multiply
    158.60x = 236.74 × 137.07
  4. Step 4: Simplify right side
    158.60x = 32,449.92
  5. Step 5: Solve for x
    x = 32,449.92/158.60
  6. Step 6: Final answer
    x = 204.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.