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Finding the Fourth Proportional to 161.40, 224.19 and 156.84

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Solution

The fourth proportional to 161.40, 224.19 and 156.84 is: 217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.40 : 224.19 = 156.84 : x
  2. Step 2: Convert to fraction form
    161.40/224.19 = 156.84/x
  3. Step 3: Cross multiply
    161.40x = 224.19 × 156.84
  4. Step 4: Simplify right side
    161.40x = 35,161.96
  5. Step 5: Solve for x
    x = 35,161.96/161.40
  6. Step 6: Final answer
    x = 217.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.