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Finding the Fourth Proportional to 380.77, 569.72 and 357.73

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Solution

The fourth proportional to 380.77, 569.72 and 357.73 is: 535.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 569.72 = 357.73 : x
  2. Step 2: Convert to fraction form
    380.77/569.72 = 357.73/x
  3. Step 3: Cross multiply
    380.77x = 569.72 × 357.73
  4. Step 4: Simplify right side
    380.77x = 203,804.15
  5. Step 5: Solve for x
    x = 203,804.15/380.77
  6. Step 6: Final answer
    x = 535.24

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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.