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Finding the Fourth Proportional to 576.06, 864.12 and 165.21

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Solution

The fourth proportional to 576.06, 864.12 and 165.21 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.06 : 864.12 = 165.21 : x
  2. Step 2: Convert to fraction form
    576.06/864.12 = 165.21/x
  3. Step 3: Cross multiply
    576.06x = 864.12 × 165.21
  4. Step 4: Simplify right side
    576.06x = 142,761.27
  5. Step 5: Solve for x
    x = 142,761.27/576.06
  6. Step 6: Final answer
    x = 247.82

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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.