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Finding the Fourth Proportional to 163.89, 244.53 and 146.58

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Solution

The fourth proportional to 163.89, 244.53 and 146.58 is: 218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.89 : 244.53 = 146.58 : x
  2. Step 2: Convert to fraction form
    163.89/244.53 = 146.58/x
  3. Step 3: Cross multiply
    163.89x = 244.53 × 146.58
  4. Step 4: Simplify right side
    163.89x = 35,843.21
  5. Step 5: Solve for x
    x = 35,843.21/163.89
  6. Step 6: Final answer
    x = 218.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.