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Finding the Fourth Proportional to 161.71, 224.29 and 156.22

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Solution

The fourth proportional to 161.71, 224.29 and 156.22 is: 216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.71 : 224.29 = 156.22 : x
  2. Step 2: Convert to fraction form
    161.71/224.29 = 156.22/x
  3. Step 3: Cross multiply
    161.71x = 224.29 × 156.22
  4. Step 4: Simplify right side
    161.71x = 35,038.58
  5. Step 5: Solve for x
    x = 35,038.58/161.71
  6. Step 6: Final answer
    x = 216.68

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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.