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Finding the Fourth Proportional to 163.56, 224.40 and 159.30

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Solution

The fourth proportional to 163.56, 224.40 and 159.30 is: 218.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.56 : 224.40 = 159.30 : x
  2. Step 2: Convert to fraction form
    163.56/224.40 = 159.30/x
  3. Step 3: Cross multiply
    163.56x = 224.40 × 159.30
  4. Step 4: Simplify right side
    163.56x = 35,746.92
  5. Step 5: Solve for x
    x = 35,746.92/163.56
  6. Step 6: Final answer
    x = 218.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.