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Finding the Fourth Proportional to 163.15, 245.61 and 140.83

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Solution

The fourth proportional to 163.15, 245.61 and 140.83 is: 212.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 245.61 = 140.83 : x
  2. Step 2: Convert to fraction form
    163.15/245.61 = 140.83/x
  3. Step 3: Cross multiply
    163.15x = 245.61 × 140.83
  4. Step 4: Simplify right side
    163.15x = 34,589.61
  5. Step 5: Solve for x
    x = 34,589.61/163.15
  6. Step 6: Final answer
    x = 212.01

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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.