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Finding the Fourth Proportional to 380.12, 570.06 and 217.91

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Solution

The fourth proportional to 380.12, 570.06 and 217.91 is: 326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 570.06 = 217.91 : x
  2. Step 2: Convert to fraction form
    380.12/570.06 = 217.91/x
  3. Step 3: Cross multiply
    380.12x = 570.06 × 217.91
  4. Step 4: Simplify right side
    380.12x = 124,223.20
  5. Step 5: Solve for x
    x = 124,223.20/380.12
  6. Step 6: Final answer
    x = 326.80

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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.