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Finding the Fourth Proportional to 380.25, 569.93 and 160.83

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Solution

The fourth proportional to 380.25, 569.93 and 160.83 is: 241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.25 : 569.93 = 160.83 : x
  2. Step 2: Convert to fraction form
    380.25/569.93 = 160.83/x
  3. Step 3: Cross multiply
    380.25x = 569.93 × 160.83
  4. Step 4: Simplify right side
    380.25x = 91,661.84
  5. Step 5: Solve for x
    x = 91,661.84/380.25
  6. Step 6: Final answer
    x = 241.06

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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.