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Finding the Fourth Proportional to 349.68, 524.61 and 161.97

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Solution

The fourth proportional to 349.68, 524.61 and 161.97 is: 242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.68 : 524.61 = 161.97 : x
  2. Step 2: Convert to fraction form
    349.68/524.61 = 161.97/x
  3. Step 3: Cross multiply
    349.68x = 524.61 × 161.97
  4. Step 4: Simplify right side
    349.68x = 84,968.43
  5. Step 5: Solve for x
    x = 84,968.43/349.68
  6. Step 6: Final answer
    x = 242.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.