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Finding the Fourth Proportional to 161.57, 240.71 and 155.09

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Solution

The fourth proportional to 161.57, 240.71 and 155.09 is: 231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.57 : 240.71 = 155.09 : x
  2. Step 2: Convert to fraction form
    161.57/240.71 = 155.09/x
  3. Step 3: Cross multiply
    161.57x = 240.71 × 155.09
  4. Step 4: Simplify right side
    161.57x = 37,331.71
  5. Step 5: Solve for x
    x = 37,331.71/161.57
  6. Step 6: Final answer
    x = 231.06

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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.