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Finding the Fourth Proportional to 161.72, 224.29 and 156.24

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Solution

The fourth proportional to 161.72, 224.29 and 156.24 is: 216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.72 : 224.29 = 156.24 : x
  2. Step 2: Convert to fraction form
    161.72/224.29 = 156.24/x
  3. Step 3: Cross multiply
    161.72x = 224.29 × 156.24
  4. Step 4: Simplify right side
    161.72x = 35,043.07
  5. Step 5: Solve for x
    x = 35,043.07/161.72
  6. Step 6: Final answer
    x = 216.69

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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.