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Finding the Fourth Proportional to 277.88, 415.03 and 262.08

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Solution

The fourth proportional to 277.88, 415.03 and 262.08 is: 391.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.88 : 415.03 = 262.08 : x
  2. Step 2: Convert to fraction form
    277.88/415.03 = 262.08/x
  3. Step 3: Cross multiply
    277.88x = 415.03 × 262.08
  4. Step 4: Simplify right side
    277.88x = 108,770.41
  5. Step 5: Solve for x
    x = 108,770.41/277.88
  6. Step 6: Final answer
    x = 391.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.