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Finding the Fourth Proportional to 180.32, 248.84 and 105.64

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Solution

The fourth proportional to 180.32, 248.84 and 105.64 is: 145.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.32 : 248.84 = 105.64 : x
  2. Step 2: Convert to fraction form
    180.32/248.84 = 105.64/x
  3. Step 3: Cross multiply
    180.32x = 248.84 × 105.64
  4. Step 4: Simplify right side
    180.32x = 26,287.46
  5. Step 5: Solve for x
    x = 26,287.46/180.32
  6. Step 6: Final answer
    x = 145.78

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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.