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Finding the Fourth Proportional to 163.40, 246.14 and 147.38

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Solution

The fourth proportional to 163.40, 246.14 and 147.38 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.40 : 246.14 = 147.38 : x
  2. Step 2: Convert to fraction form
    163.40/246.14 = 147.38/x
  3. Step 3: Cross multiply
    163.40x = 246.14 × 147.38
  4. Step 4: Simplify right side
    163.40x = 36,276.11
  5. Step 5: Solve for x
    x = 36,276.11/163.40
  6. Step 6: Final answer
    x = 222.01

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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.