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Finding the Fourth Proportional to 577.96, 867.16 and 212.78

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Solution

The fourth proportional to 577.96, 867.16 and 212.78 is: 319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 867.16 = 212.78 : x
  2. Step 2: Convert to fraction form
    577.96/867.16 = 212.78/x
  3. Step 3: Cross multiply
    577.96x = 867.16 × 212.78
  4. Step 4: Simplify right side
    577.96x = 184,516.74
  5. Step 5: Solve for x
    x = 184,516.74/577.96
  6. Step 6: Final answer
    x = 319.26

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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.