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Finding the Fourth Proportional to 161.16, 240.75 and 115.15

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Solution

The fourth proportional to 161.16, 240.75 and 115.15 is: 172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.16 : 240.75 = 115.15 : x
  2. Step 2: Convert to fraction form
    161.16/240.75 = 115.15/x
  3. Step 3: Cross multiply
    161.16x = 240.75 × 115.15
  4. Step 4: Simplify right side
    161.16x = 27,722.36
  5. Step 5: Solve for x
    x = 27,722.36/161.16
  6. Step 6: Final answer
    x = 172.02

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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.