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Finding the Fourth Proportional to 161.50, 224.22 and 157.04

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Solution

The fourth proportional to 161.50, 224.22 and 157.04 is: 218.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.50 : 224.22 = 157.04 : x
  2. Step 2: Convert to fraction form
    161.50/224.22 = 157.04/x
  3. Step 3: Cross multiply
    161.50x = 224.22 × 157.04
  4. Step 4: Simplify right side
    161.50x = 35,211.51
  5. Step 5: Solve for x
    x = 35,211.51/161.50
  6. Step 6: Final answer
    x = 218.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.