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Finding the Fourth Proportional to 276.66, 415 and 94.07

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Solution

The fourth proportional to 276.66, 415 and 94.07 is: 141.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.66 : 415 = 94.07 : x
  2. Step 2: Convert to fraction form
    276.66/415 = 94.07/x
  3. Step 3: Cross multiply
    276.66x = 415 × 94.07
  4. Step 4: Simplify right side
    276.66x = 39,039.05
  5. Step 5: Solve for x
    x = 39,039.05/276.66
  6. Step 6: Final answer
    x = 141.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.