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Finding the Fourth Proportional to 163.42, 224.04 and 155.60

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Solution

The fourth proportional to 163.42, 224.04 and 155.60 is: 213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.42 : 224.04 = 155.60 : x
  2. Step 2: Convert to fraction form
    163.42/224.04 = 155.60/x
  3. Step 3: Cross multiply
    163.42x = 224.04 × 155.60
  4. Step 4: Simplify right side
    163.42x = 34,860.62
  5. Step 5: Solve for x
    x = 34,860.62/163.42
  6. Step 6: Final answer
    x = 213.32

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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.