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Finding the Fourth Proportional to 349.29, 524.10 and 166.65

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Solution

The fourth proportional to 349.29, 524.10 and 166.65 is: 250.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.29 : 524.10 = 166.65 : x
  2. Step 2: Convert to fraction form
    349.29/524.10 = 166.65/x
  3. Step 3: Cross multiply
    349.29x = 524.10 × 166.65
  4. Step 4: Simplify right side
    349.29x = 87,341.27
  5. Step 5: Solve for x
    x = 87,341.27/349.29
  6. Step 6: Final answer
    x = 250.05

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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.