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Finding the Fourth Proportional to 207.56, 286.08 and 189.20

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Solution

The fourth proportional to 207.56, 286.08 and 189.20 is: 260.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.56 : 286.08 = 189.20 : x
  2. Step 2: Convert to fraction form
    207.56/286.08 = 189.20/x
  3. Step 3: Cross multiply
    207.56x = 286.08 × 189.20
  4. Step 4: Simplify right side
    207.56x = 54,126.34
  5. Step 5: Solve for x
    x = 54,126.34/207.56
  6. Step 6: Final answer
    x = 260.77

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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.