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Finding the Fourth Proportional to 207.85, 310.15 and 192.57

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Solution

The fourth proportional to 207.85, 310.15 and 192.57 is: 287.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.85 : 310.15 = 192.57 : x
  2. Step 2: Convert to fraction form
    207.85/310.15 = 192.57/x
  3. Step 3: Cross multiply
    207.85x = 310.15 × 192.57
  4. Step 4: Simplify right side
    207.85x = 59,725.59
  5. Step 5: Solve for x
    x = 59,725.59/207.85
  6. Step 6: Final answer
    x = 287.35

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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.