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Finding the Fourth Proportional to 179.60, 248 and 135.86

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Solution

The fourth proportional to 179.60, 248 and 135.86 is: 187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.60 : 248 = 135.86 : x
  2. Step 2: Convert to fraction form
    179.60/248 = 135.86/x
  3. Step 3: Cross multiply
    179.60x = 248 × 135.86
  4. Step 4: Simplify right side
    179.60x = 33,693.28
  5. Step 5: Solve for x
    x = 33,693.28/179.60
  6. Step 6: Final answer
    x = 187.60

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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.