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Finding the Fourth Proportional to 207.37, 286.02 and 170.46

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Solution

The fourth proportional to 207.37, 286.02 and 170.46 is: 235.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.37 : 286.02 = 170.46 : x
  2. Step 2: Convert to fraction form
    207.37/286.02 = 170.46/x
  3. Step 3: Cross multiply
    207.37x = 286.02 × 170.46
  4. Step 4: Simplify right side
    207.37x = 48,755.45
  5. Step 5: Solve for x
    x = 48,755.45/207.37
  6. Step 6: Final answer
    x = 235.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.