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Finding the Fourth Proportional to 163.34, 223.76 and 157.17

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Solution

The fourth proportional to 163.34, 223.76 and 157.17 is: 215.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.34 : 223.76 = 157.17 : x
  2. Step 2: Convert to fraction form
    163.34/223.76 = 157.17/x
  3. Step 3: Cross multiply
    163.34x = 223.76 × 157.17
  4. Step 4: Simplify right side
    163.34x = 35,168.75
  5. Step 5: Solve for x
    x = 35,168.75/163.34
  6. Step 6: Final answer
    x = 215.32

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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.