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Finding the Fourth Proportional to 576.65, 864.45 and 211.35

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Solution

The fourth proportional to 576.65, 864.45 and 211.35 is: 316.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.65 : 864.45 = 211.35 : x
  2. Step 2: Convert to fraction form
    576.65/864.45 = 211.35/x
  3. Step 3: Cross multiply
    576.65x = 864.45 × 211.35
  4. Step 4: Simplify right side
    576.65x = 182,701.51
  5. Step 5: Solve for x
    x = 182,701.51/576.65
  6. Step 6: Final answer
    x = 316.83

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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.