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Finding the Fourth Proportional to 179.64, 247.79 and 135.20

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Solution

The fourth proportional to 179.64, 247.79 and 135.20 is: 186.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.64 : 247.79 = 135.20 : x
  2. Step 2: Convert to fraction form
    179.64/247.79 = 135.20/x
  3. Step 3: Cross multiply
    179.64x = 247.79 × 135.20
  4. Step 4: Simplify right side
    179.64x = 33,499.29
  5. Step 5: Solve for x
    x = 33,499.29/179.64
  6. Step 6: Final answer
    x = 186.48

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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.