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Finding the Fourth Proportional to 161.28, 243.14 and 150.84

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Solution

The fourth proportional to 161.28, 243.14 and 150.84 is: 227.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.28 : 243.14 = 150.84 : x
  2. Step 2: Convert to fraction form
    161.28/243.14 = 150.84/x
  3. Step 3: Cross multiply
    161.28x = 243.14 × 150.84
  4. Step 4: Simplify right side
    161.28x = 36,674.48
  5. Step 5: Solve for x
    x = 36,674.48/161.28
  6. Step 6: Final answer
    x = 227.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.