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Finding the Fourth Proportional to 577.08, 864.84 and 211.52

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Solution

The fourth proportional to 577.08, 864.84 and 211.52 is: 316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.08 : 864.84 = 211.52 : x
  2. Step 2: Convert to fraction form
    577.08/864.84 = 211.52/x
  3. Step 3: Cross multiply
    577.08x = 864.84 × 211.52
  4. Step 4: Simplify right side
    577.08x = 182,930.96
  5. Step 5: Solve for x
    x = 182,930.96/577.08
  6. Step 6: Final answer
    x = 316.99

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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.