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Finding the Fourth Proportional to 576, 864.13 and 186.03

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Solution

The fourth proportional to 576, 864.13 and 186.03 is: 279.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    576 : 864.13 = 186.03 : x
  2. Step 2: Convert to fraction form
    576/864.13 = 186.03/x
  3. Step 3: Cross multiply
    576x = 864.13 × 186.03
  4. Step 4: Simplify right side
    576x = 160,754.10
  5. Step 5: Solve for x
    x = 160,754.10/576
  6. Step 6: Final answer
    x = 279.09

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