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Finding the Fourth Proportional to 380.10, 569.64 and 276.78

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Solution

The fourth proportional to 380.10, 569.64 and 276.78 is: 414.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.10 : 569.64 = 276.78 : x
  2. Step 2: Convert to fraction form
    380.10/569.64 = 276.78/x
  3. Step 3: Cross multiply
    380.10x = 569.64 × 276.78
  4. Step 4: Simplify right side
    380.10x = 157,664.96
  5. Step 5: Solve for x
    x = 157,664.96/380.10
  6. Step 6: Final answer
    x = 414.80

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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.