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Finding the Fourth Proportional to 207, 285.33 and 191.46

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Solution

The fourth proportional to 207, 285.33 and 191.46 is: 263.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207 : 285.33 = 191.46 : x
  2. Step 2: Convert to fraction form
    207/285.33 = 191.46/x
  3. Step 3: Cross multiply
    207x = 285.33 × 191.46
  4. Step 4: Simplify right side
    207x = 54,629.28
  5. Step 5: Solve for x
    x = 54,629.28/207
  6. Step 6: Final answer
    x = 263.91

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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.