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Finding the Fourth Proportional to 207.42, 313.40 and 205.44

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Solution

The fourth proportional to 207.42, 313.40 and 205.44 is: 310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.42 : 313.40 = 205.44 : x
  2. Step 2: Convert to fraction form
    207.42/313.40 = 205.44/x
  3. Step 3: Cross multiply
    207.42x = 313.40 × 205.44
  4. Step 4: Simplify right side
    207.42x = 64,384.90
  5. Step 5: Solve for x
    x = 64,384.90/207.42
  6. Step 6: Final answer
    x = 310.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.