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Finding the Fourth Proportional to 380.85, 570.17 and 235.59

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Solution

The fourth proportional to 380.85, 570.17 and 235.59 is: 352.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.85 : 570.17 = 235.59 : x
  2. Step 2: Convert to fraction form
    380.85/570.17 = 235.59/x
  3. Step 3: Cross multiply
    380.85x = 570.17 × 235.59
  4. Step 4: Simplify right side
    380.85x = 134,326.94
  5. Step 5: Solve for x
    x = 134,326.94/380.85
  6. Step 6: Final answer
    x = 352.70

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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.