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Finding the Fourth Proportional to 251.92, 349.30 and 242.80

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Solution

The fourth proportional to 251.92, 349.30 and 242.80 is: 336.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.92 : 349.30 = 242.80 : x
  2. Step 2: Convert to fraction form
    251.92/349.30 = 242.80/x
  3. Step 3: Cross multiply
    251.92x = 349.30 × 242.80
  4. Step 4: Simplify right side
    251.92x = 84,810.04
  5. Step 5: Solve for x
    x = 84,810.04/251.92
  6. Step 6: Final answer
    x = 336.65

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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.