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Finding the Fourth Proportional to 163.78, 247.03 and 146.16

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Solution

The fourth proportional to 163.78, 247.03 and 146.16 is: 220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.78 : 247.03 = 146.16 : x
  2. Step 2: Convert to fraction form
    163.78/247.03 = 146.16/x
  3. Step 3: Cross multiply
    163.78x = 247.03 × 146.16
  4. Step 4: Simplify right side
    163.78x = 36,105.90
  5. Step 5: Solve for x
    x = 36,105.90/163.78
  6. Step 6: Final answer
    x = 220.45

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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.