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Finding the Fourth Proportional to 180.16, 248.75 and 133.63

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Solution

The fourth proportional to 180.16, 248.75 and 133.63 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 248.75 = 133.63 : x
  2. Step 2: Convert to fraction form
    180.16/248.75 = 133.63/x
  3. Step 3: Cross multiply
    180.16x = 248.75 × 133.63
  4. Step 4: Simplify right side
    180.16x = 33,240.46
  5. Step 5: Solve for x
    x = 33,240.46/180.16
  6. Step 6: Final answer
    x = 184.51

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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.