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Finding the Fourth Proportional to 380.45, 569.31 and 371.34

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Solution

The fourth proportional to 380.45, 569.31 and 371.34 is: 555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.45 : 569.31 = 371.34 : x
  2. Step 2: Convert to fraction form
    380.45/569.31 = 371.34/x
  3. Step 3: Cross multiply
    380.45x = 569.31 × 371.34
  4. Step 4: Simplify right side
    380.45x = 211,407.58
  5. Step 5: Solve for x
    x = 211,407.58/380.45
  6. Step 6: Final answer
    x = 555.68

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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.