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Finding the Fourth Proportional to 276.53, 416.44 and 240.89

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Solution

The fourth proportional to 276.53, 416.44 and 240.89 is: 362.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.53 : 416.44 = 240.89 : x
  2. Step 2: Convert to fraction form
    276.53/416.44 = 240.89/x
  3. Step 3: Cross multiply
    276.53x = 416.44 × 240.89
  4. Step 4: Simplify right side
    276.53x = 100,316.23
  5. Step 5: Solve for x
    x = 100,316.23/276.53
  6. Step 6: Final answer
    x = 362.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.