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Finding the Fourth Proportional to 180.64, 249.60 and 148

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Solution

The fourth proportional to 180.64, 249.60 and 148 is: 204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.64 : 249.60 = 148 : x
  2. Step 2: Convert to fraction form
    180.64/249.60 = 148/x
  3. Step 3: Cross multiply
    180.64x = 249.60 × 148
  4. Step 4: Simplify right side
    180.64x = 36,940.80
  5. Step 5: Solve for x
    x = 36,940.80/180.64
  6. Step 6: Final answer
    x = 204.50

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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.