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Finding the Fourth Proportional to 207.17, 312.24 and 205.12

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Solution

The fourth proportional to 207.17, 312.24 and 205.12 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.17 : 312.24 = 205.12 : x
  2. Step 2: Convert to fraction form
    207.17/312.24 = 205.12/x
  3. Step 3: Cross multiply
    207.17x = 312.24 × 205.12
  4. Step 4: Simplify right side
    207.17x = 64,046.67
  5. Step 5: Solve for x
    x = 64,046.67/207.17
  6. Step 6: Final answer
    x = 309.15

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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.