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Finding the Fourth Proportional to 577.14, 865.12 and 211.65

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Solution

The fourth proportional to 577.14, 865.12 and 211.65 is: 317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.14 : 865.12 = 211.65 : x
  2. Step 2: Convert to fraction form
    577.14/865.12 = 211.65/x
  3. Step 3: Cross multiply
    577.14x = 865.12 × 211.65
  4. Step 4: Simplify right side
    577.14x = 183,102.65
  5. Step 5: Solve for x
    x = 183,102.65/577.14
  6. Step 6: Final answer
    x = 317.26

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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.