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Finding the Fourth Proportional to 180.40, 248.99 and 106.74

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Solution

The fourth proportional to 180.40, 248.99 and 106.74 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.40 : 248.99 = 106.74 : x
  2. Step 2: Convert to fraction form
    180.40/248.99 = 106.74/x
  3. Step 3: Cross multiply
    180.40x = 248.99 × 106.74
  4. Step 4: Simplify right side
    180.40x = 26,577.46
  5. Step 5: Solve for x
    x = 26,577.46/180.40
  6. Step 6: Final answer
    x = 147.33

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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.