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Finding the Fourth Proportional to 380.55, 569.79 and 331.32

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Solution

The fourth proportional to 380.55, 569.79 and 331.32 is: 496.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.55 : 569.79 = 331.32 : x
  2. Step 2: Convert to fraction form
    380.55/569.79 = 331.32/x
  3. Step 3: Cross multiply
    380.55x = 569.79 × 331.32
  4. Step 4: Simplify right side
    380.55x = 188,782.82
  5. Step 5: Solve for x
    x = 188,782.82/380.55
  6. Step 6: Final answer
    x = 496.08

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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.