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Finding the Fourth Proportional to 163.02, 224.98 and 92.14

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Solution

The fourth proportional to 163.02, 224.98 and 92.14 is: 127.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.02 : 224.98 = 92.14 : x
  2. Step 2: Convert to fraction form
    163.02/224.98 = 92.14/x
  3. Step 3: Cross multiply
    163.02x = 224.98 × 92.14
  4. Step 4: Simplify right side
    163.02x = 20,728.86
  5. Step 5: Solve for x
    x = 20,728.86/163.02
  6. Step 6: Final answer
    x = 127.15

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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.