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Finding the Fourth Proportional to 177.18, 243.83 and 163.50

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Solution

The fourth proportional to 177.18, 243.83 and 163.50 is: 225.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.18 : 243.83 = 163.50 : x
  2. Step 2: Convert to fraction form
    177.18/243.83 = 163.50/x
  3. Step 3: Cross multiply
    177.18x = 243.83 × 163.50
  4. Step 4: Simplify right side
    177.18x = 39,865.39
  5. Step 5: Solve for x
    x = 39,865.39/177.18
  6. Step 6: Final answer
    x = 225.00

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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.