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Finding the Fourth Proportional to 163.74, 224.97 and 156.59

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Solution

The fourth proportional to 163.74, 224.97 and 156.59 is: 215.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.74 : 224.97 = 156.59 : x
  2. Step 2: Convert to fraction form
    163.74/224.97 = 156.59/x
  3. Step 3: Cross multiply
    163.74x = 224.97 × 156.59
  4. Step 4: Simplify right side
    163.74x = 35,226.93
  5. Step 5: Solve for x
    x = 35,226.93/163.74
  6. Step 6: Final answer
    x = 215.14

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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.