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Finding the Fourth Proportional to 180.04, 248.22 and 143.13

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Solution

The fourth proportional to 180.04, 248.22 and 143.13 is: 197.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.04 : 248.22 = 143.13 : x
  2. Step 2: Convert to fraction form
    180.04/248.22 = 143.13/x
  3. Step 3: Cross multiply
    180.04x = 248.22 × 143.13
  4. Step 4: Simplify right side
    180.04x = 35,527.71
  5. Step 5: Solve for x
    x = 35,527.71/180.04
  6. Step 6: Final answer
    x = 197.34

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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.