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Finding the Fourth Proportional to 276.67, 416.74 and 234.29

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Solution

The fourth proportional to 276.67, 416.74 and 234.29 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.67 : 416.74 = 234.29 : x
  2. Step 2: Convert to fraction form
    276.67/416.74 = 234.29/x
  3. Step 3: Cross multiply
    276.67x = 416.74 × 234.29
  4. Step 4: Simplify right side
    276.67x = 97,638.47
  5. Step 5: Solve for x
    x = 97,638.47/276.67
  6. Step 6: Final answer
    x = 352.91

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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.