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Finding the Fourth Proportional to 161.71, 241.64 and 122.98

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Solution

The fourth proportional to 161.71, 241.64 and 122.98 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.71 : 241.64 = 122.98 : x
  2. Step 2: Convert to fraction form
    161.71/241.64 = 122.98/x
  3. Step 3: Cross multiply
    161.71x = 241.64 × 122.98
  4. Step 4: Simplify right side
    161.71x = 29,716.89
  5. Step 5: Solve for x
    x = 29,716.89/161.71
  6. Step 6: Final answer
    x = 183.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.