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Finding the Fourth Proportional to 163.15, 224.71 and 121.64

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Solution

The fourth proportional to 163.15, 224.71 and 121.64 is: 167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.15 : 224.71 = 121.64 : x
  2. Step 2: Convert to fraction form
    163.15/224.71 = 121.64/x
  3. Step 3: Cross multiply
    163.15x = 224.71 × 121.64
  4. Step 4: Simplify right side
    163.15x = 27,333.76
  5. Step 5: Solve for x
    x = 27,333.76/163.15
  6. Step 6: Final answer
    x = 167.54

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