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Finding the Fourth Proportional to 245.48, 366.85 and 199.31

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Solution

The fourth proportional to 245.48, 366.85 and 199.31 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.48 : 366.85 = 199.31 : x
  2. Step 2: Convert to fraction form
    245.48/366.85 = 199.31/x
  3. Step 3: Cross multiply
    245.48x = 366.85 × 199.31
  4. Step 4: Simplify right side
    245.48x = 73,115.88
  5. Step 5: Solve for x
    x = 73,115.88/245.48
  6. Step 6: Final answer
    x = 297.85

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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.