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Finding the Fourth Proportional to 176.47, 263.44 and 163.78

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Solution

The fourth proportional to 176.47, 263.44 and 163.78 is: 244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.47 : 263.44 = 163.78 : x
  2. Step 2: Convert to fraction form
    176.47/263.44 = 163.78/x
  3. Step 3: Cross multiply
    176.47x = 263.44 × 163.78
  4. Step 4: Simplify right side
    176.47x = 43,146.20
  5. Step 5: Solve for x
    x = 43,146.20/176.47
  6. Step 6: Final answer
    x = 244.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.