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Finding the Fourth Proportional to 180.10, 248.50 and 106.40

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Solution

The fourth proportional to 180.10, 248.50 and 106.40 is: 146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 248.50 = 106.40 : x
  2. Step 2: Convert to fraction form
    180.10/248.50 = 106.40/x
  3. Step 3: Cross multiply
    180.10x = 248.50 × 106.40
  4. Step 4: Simplify right side
    180.10x = 26,440.40
  5. Step 5: Solve for x
    x = 26,440.40/180.10
  6. Step 6: Final answer
    x = 146.81

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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.