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Finding the Fourth Proportional to 207.97, 312.09 and 156.71

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Solution

The fourth proportional to 207.97, 312.09 and 156.71 is: 235.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.97 : 312.09 = 156.71 : x
  2. Step 2: Convert to fraction form
    207.97/312.09 = 156.71/x
  3. Step 3: Cross multiply
    207.97x = 312.09 × 156.71
  4. Step 4: Simplify right side
    207.97x = 48,907.82
  5. Step 5: Solve for x
    x = 48,907.82/207.97
  6. Step 6: Final answer
    x = 235.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.