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Finding the Fourth Proportional to 163.48, 224.46 and 151.88

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Solution

The fourth proportional to 163.48, 224.46 and 151.88 is: 208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.48 : 224.46 = 151.88 : x
  2. Step 2: Convert to fraction form
    163.48/224.46 = 151.88/x
  3. Step 3: Cross multiply
    163.48x = 224.46 × 151.88
  4. Step 4: Simplify right side
    163.48x = 34,090.98
  5. Step 5: Solve for x
    x = 34,090.98/163.48
  6. Step 6: Final answer
    x = 208.53

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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.