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Finding the Fourth Proportional to 163.35, 224.98 and 162.86

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Solution

The fourth proportional to 163.35, 224.98 and 162.86 is: 224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.35 : 224.98 = 162.86 : x
  2. Step 2: Convert to fraction form
    163.35/224.98 = 162.86/x
  3. Step 3: Cross multiply
    163.35x = 224.98 × 162.86
  4. Step 4: Simplify right side
    163.35x = 36,640.24
  5. Step 5: Solve for x
    x = 36,640.24/163.35
  6. Step 6: Final answer
    x = 224.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.