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Finding the Fourth Proportional to 380.36, 570.60 and 359.61

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Solution

The fourth proportional to 380.36, 570.60 and 359.61 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.36 : 570.60 = 359.61 : x
  2. Step 2: Convert to fraction form
    380.36/570.60 = 359.61/x
  3. Step 3: Cross multiply
    380.36x = 570.60 × 359.61
  4. Step 4: Simplify right side
    380.36x = 205,193.47
  5. Step 5: Solve for x
    x = 205,193.47/380.36
  6. Step 6: Final answer
    x = 539.48

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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.