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Finding the Fourth Proportional to 161.94, 224.65 and 153.74

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Solution

The fourth proportional to 161.94, 224.65 and 153.74 is: 213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.94 : 224.65 = 153.74 : x
  2. Step 2: Convert to fraction form
    161.94/224.65 = 153.74/x
  3. Step 3: Cross multiply
    161.94x = 224.65 × 153.74
  4. Step 4: Simplify right side
    161.94x = 34,537.69
  5. Step 5: Solve for x
    x = 34,537.69/161.94
  6. Step 6: Final answer
    x = 213.27

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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.