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Finding the Fourth Proportional to 161.93, 224.62 and 156.26

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Solution

The fourth proportional to 161.93, 224.62 and 156.26 is: 216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.93 : 224.62 = 156.26 : x
  2. Step 2: Convert to fraction form
    161.93/224.62 = 156.26/x
  3. Step 3: Cross multiply
    161.93x = 224.62 × 156.26
  4. Step 4: Simplify right side
    161.93x = 35,100.17
  5. Step 5: Solve for x
    x = 35,100.17/161.93
  6. Step 6: Final answer
    x = 216.76

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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.