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Finding the Fourth Proportional to 374.85, 561.92 and 218.66

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Solution

The fourth proportional to 374.85, 561.92 and 218.66 is: 327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    374.85 : 561.92 = 218.66 : x
  2. Step 2: Convert to fraction form
    374.85/561.92 = 218.66/x
  3. Step 3: Cross multiply
    374.85x = 561.92 × 218.66
  4. Step 4: Simplify right side
    374.85x = 122,865.52
  5. Step 5: Solve for x
    x = 122,865.52/374.85
  6. Step 6: Final answer
    x = 327.77

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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.