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Finding the Fourth Proportional to 381.18, 570.85 and 218.58

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Solution

The fourth proportional to 381.18, 570.85 and 218.58 is: 327.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.18 : 570.85 = 218.58 : x
  2. Step 2: Convert to fraction form
    381.18/570.85 = 218.58/x
  3. Step 3: Cross multiply
    381.18x = 570.85 × 218.58
  4. Step 4: Simplify right side
    381.18x = 124,776.39
  5. Step 5: Solve for x
    x = 124,776.39/381.18
  6. Step 6: Final answer
    x = 327.34

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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.