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Finding the Fourth Proportional to 180.51, 248.72 and 147.71

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Solution

The fourth proportional to 180.51, 248.72 and 147.71 is: 203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.51 : 248.72 = 147.71 : x
  2. Step 2: Convert to fraction form
    180.51/248.72 = 147.71/x
  3. Step 3: Cross multiply
    180.51x = 248.72 × 147.71
  4. Step 4: Simplify right side
    180.51x = 36,736.45
  5. Step 5: Solve for x
    x = 36,736.45/180.51
  6. Step 6: Final answer
    x = 203.51

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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.