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Finding the Fourth Proportional to 207.46, 309.34 and 199.36

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Solution

The fourth proportional to 207.46, 309.34 and 199.36 is: 297.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.46 : 309.34 = 199.36 : x
  2. Step 2: Convert to fraction form
    207.46/309.34 = 199.36/x
  3. Step 3: Cross multiply
    207.46x = 309.34 × 199.36
  4. Step 4: Simplify right side
    207.46x = 61,670.02
  5. Step 5: Solve for x
    x = 61,670.02/207.46
  6. Step 6: Final answer
    x = 297.26

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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.