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Finding the Fourth Proportional to 207.16, 308.91 and 205.36

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Solution

The fourth proportional to 207.16, 308.91 and 205.36 is: 306.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.16 : 308.91 = 205.36 : x
  2. Step 2: Convert to fraction form
    207.16/308.91 = 205.36/x
  3. Step 3: Cross multiply
    207.16x = 308.91 × 205.36
  4. Step 4: Simplify right side
    207.16x = 63,437.76
  5. Step 5: Solve for x
    x = 63,437.76/207.16
  6. Step 6: Final answer
    x = 306.23

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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.