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Finding the Fourth Proportional to 163.60, 246.70 and 144.40

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Solution

The fourth proportional to 163.60, 246.70 and 144.40 is: 217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.60 : 246.70 = 144.40 : x
  2. Step 2: Convert to fraction form
    163.60/246.70 = 144.40/x
  3. Step 3: Cross multiply
    163.60x = 246.70 × 144.40
  4. Step 4: Simplify right side
    163.60x = 35,623.48
  5. Step 5: Solve for x
    x = 35,623.48/163.60
  6. Step 6: Final answer
    x = 217.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.