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Finding the Fourth Proportional to 576.31, 864.50 and 186.37

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Solution

The fourth proportional to 576.31, 864.50 and 186.37 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.31 : 864.50 = 186.37 : x
  2. Step 2: Convert to fraction form
    576.31/864.50 = 186.37/x
  3. Step 3: Cross multiply
    576.31x = 864.50 × 186.37
  4. Step 4: Simplify right side
    576.31x = 161,116.87
  5. Step 5: Solve for x
    x = 161,116.87/576.31
  6. Step 6: Final answer
    x = 279.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.