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Finding the Fourth Proportional to 287.50, 396.66 and 189.31

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Solution

The fourth proportional to 287.50, 396.66 and 189.31 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.50 : 396.66 = 189.31 : x
  2. Step 2: Convert to fraction form
    287.50/396.66 = 189.31/x
  3. Step 3: Cross multiply
    287.50x = 396.66 × 189.31
  4. Step 4: Simplify right side
    287.50x = 75,091.70
  5. Step 5: Solve for x
    x = 75,091.70/287.50
  6. Step 6: Final answer
    x = 261.19

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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.