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Finding the Fourth Proportional to 207.14, 310.75 and 62.87

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Solution

The fourth proportional to 207.14, 310.75 and 62.87 is: 94.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 310.75 = 62.87 : x
  2. Step 2: Convert to fraction form
    207.14/310.75 = 62.87/x
  3. Step 3: Cross multiply
    207.14x = 310.75 × 62.87
  4. Step 4: Simplify right side
    207.14x = 19,535.14
  5. Step 5: Solve for x
    x = 19,535.14/207.14
  6. Step 6: Final answer
    x = 94.31

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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.