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Finding the Fourth Proportional to 349.98, 483.06 and 225.78

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Solution

The fourth proportional to 349.98, 483.06 and 225.78 is: 311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.98 : 483.06 = 225.78 : x
  2. Step 2: Convert to fraction form
    349.98/483.06 = 225.78/x
  3. Step 3: Cross multiply
    349.98x = 483.06 × 225.78
  4. Step 4: Simplify right side
    349.98x = 109,065.29
  5. Step 5: Solve for x
    x = 109,065.29/349.98
  6. Step 6: Final answer
    x = 311.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.