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Finding the Fourth Proportional to 276.89, 416.99 and 233.82

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Solution

The fourth proportional to 276.89, 416.99 and 233.82 is: 352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 416.99 = 233.82 : x
  2. Step 2: Convert to fraction form
    276.89/416.99 = 233.82/x
  3. Step 3: Cross multiply
    276.89x = 416.99 × 233.82
  4. Step 4: Simplify right side
    276.89x = 97,501.19
  5. Step 5: Solve for x
    x = 97,501.19/276.89
  6. Step 6: Final answer
    x = 352.14

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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.