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Finding the Fourth Proportional to 380.08, 569.61 and 277.41

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Solution

The fourth proportional to 380.08, 569.61 and 277.41 is: 415.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.08 : 569.61 = 277.41 : x
  2. Step 2: Convert to fraction form
    380.08/569.61 = 277.41/x
  3. Step 3: Cross multiply
    380.08x = 569.61 × 277.41
  4. Step 4: Simplify right side
    380.08x = 158,015.51
  5. Step 5: Solve for x
    x = 158,015.51/380.08
  6. Step 6: Final answer
    x = 415.74

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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.