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Finding the Fourth Proportional to 207.14, 285.94 and 185.54

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Solution

The fourth proportional to 207.14, 285.94 and 185.54 is: 256.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.14 : 285.94 = 185.54 : x
  2. Step 2: Convert to fraction form
    207.14/285.94 = 185.54/x
  3. Step 3: Cross multiply
    207.14x = 285.94 × 185.54
  4. Step 4: Simplify right side
    207.14x = 53,053.31
  5. Step 5: Solve for x
    x = 53,053.31/207.14
  6. Step 6: Final answer
    x = 256.12

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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.