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Finding the Fourth Proportional to 277.67, 418.24 and 235.29

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Solution

The fourth proportional to 277.67, 418.24 and 235.29 is: 354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 418.24 = 235.29 : x
  2. Step 2: Convert to fraction form
    277.67/418.24 = 235.29/x
  3. Step 3: Cross multiply
    277.67x = 418.24 × 235.29
  4. Step 4: Simplify right side
    277.67x = 98,407.69
  5. Step 5: Solve for x
    x = 98,407.69/277.67
  6. Step 6: Final answer
    x = 354.41

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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.