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Finding the Fourth Proportional to 163.36, 223.76 and 158.72

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Solution

The fourth proportional to 163.36, 223.76 and 158.72 is: 217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.36 : 223.76 = 158.72 : x
  2. Step 2: Convert to fraction form
    163.36/223.76 = 158.72/x
  3. Step 3: Cross multiply
    163.36x = 223.76 × 158.72
  4. Step 4: Simplify right side
    163.36x = 35,515.19
  5. Step 5: Solve for x
    x = 35,515.19/163.36
  6. Step 6: Final answer
    x = 217.40

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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.