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Finding the Fourth Proportional to 207.70, 310.04 and 192.68

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Solution

The fourth proportional to 207.70, 310.04 and 192.68 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.70 : 310.04 = 192.68 : x
  2. Step 2: Convert to fraction form
    207.70/310.04 = 192.68/x
  3. Step 3: Cross multiply
    207.70x = 310.04 × 192.68
  4. Step 4: Simplify right side
    207.70x = 59,738.51
  5. Step 5: Solve for x
    x = 59,738.51/207.70
  6. Step 6: Final answer
    x = 287.62

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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.