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Finding the Fourth Proportional to 577.96, 867.39 and 212.98

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Solution

The fourth proportional to 577.96, 867.39 and 212.98 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.96 : 867.39 = 212.98 : x
  2. Step 2: Convert to fraction form
    577.96/867.39 = 212.98/x
  3. Step 3: Cross multiply
    577.96x = 867.39 × 212.98
  4. Step 4: Simplify right side
    577.96x = 184,736.72
  5. Step 5: Solve for x
    x = 184,736.72/577.96
  6. Step 6: Final answer
    x = 319.64

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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.