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Finding the Fourth Proportional to 161.41, 240.80 and 155.94

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Solution

The fourth proportional to 161.41, 240.80 and 155.94 is: 232.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.41 : 240.80 = 155.94 : x
  2. Step 2: Convert to fraction form
    161.41/240.80 = 155.94/x
  3. Step 3: Cross multiply
    161.41x = 240.80 × 155.94
  4. Step 4: Simplify right side
    161.41x = 37,550.35
  5. Step 5: Solve for x
    x = 37,550.35/161.41
  6. Step 6: Final answer
    x = 232.64

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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.