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Finding the Fourth Proportional to 215.37, 321.49 and 199.31

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Solution

The fourth proportional to 215.37, 321.49 and 199.31 is: 297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.37 : 321.49 = 199.31 : x
  2. Step 2: Convert to fraction form
    215.37/321.49 = 199.31/x
  3. Step 3: Cross multiply
    215.37x = 321.49 × 199.31
  4. Step 4: Simplify right side
    215.37x = 64,075.14
  5. Step 5: Solve for x
    x = 64,075.14/215.37
  6. Step 6: Final answer
    x = 297.51

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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.