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Finding the Fourth Proportional to 179.97, 248.43 and 152.48

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Solution

The fourth proportional to 179.97, 248.43 and 152.48 is: 210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.97 : 248.43 = 152.48 : x
  2. Step 2: Convert to fraction form
    179.97/248.43 = 152.48/x
  3. Step 3: Cross multiply
    179.97x = 248.43 × 152.48
  4. Step 4: Simplify right side
    179.97x = 37,881.23
  5. Step 5: Solve for x
    x = 37,881.23/179.97
  6. Step 6: Final answer
    x = 210.49

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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.