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Finding the Fourth Proportional to 161.68, 240.86 and 153.94

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Solution

The fourth proportional to 161.68, 240.86 and 153.94 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.68 : 240.86 = 153.94 : x
  2. Step 2: Convert to fraction form
    161.68/240.86 = 153.94/x
  3. Step 3: Cross multiply
    161.68x = 240.86 × 153.94
  4. Step 4: Simplify right side
    161.68x = 37,076.62
  5. Step 5: Solve for x
    x = 37,076.62/161.68
  6. Step 6: Final answer
    x = 229.32

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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.