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Finding the Fourth Proportional to 371.02, 511.58 and 277.61

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Solution

The fourth proportional to 371.02, 511.58 and 277.61 is: 382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.02 : 511.58 = 277.61 : x
  2. Step 2: Convert to fraction form
    371.02/511.58 = 277.61/x
  3. Step 3: Cross multiply
    371.02x = 511.58 × 277.61
  4. Step 4: Simplify right side
    371.02x = 142,019.72
  5. Step 5: Solve for x
    x = 142,019.72/371.02
  6. Step 6: Final answer
    x = 382.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.