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Finding the Fourth Proportional to 161.04, 242.48 and 113.26

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Solution

The fourth proportional to 161.04, 242.48 and 113.26 is: 170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.04 : 242.48 = 113.26 : x
  2. Step 2: Convert to fraction form
    161.04/242.48 = 113.26/x
  3. Step 3: Cross multiply
    161.04x = 242.48 × 113.26
  4. Step 4: Simplify right side
    161.04x = 27,463.28
  5. Step 5: Solve for x
    x = 27,463.28/161.04
  6. Step 6: Final answer
    x = 170.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.