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Finding the Fourth Proportional to 277.77, 418.76 and 262.89

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Solution

The fourth proportional to 277.77, 418.76 and 262.89 is: 396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.77 : 418.76 = 262.89 : x
  2. Step 2: Convert to fraction form
    277.77/418.76 = 262.89/x
  3. Step 3: Cross multiply
    277.77x = 418.76 × 262.89
  4. Step 4: Simplify right side
    277.77x = 110,088.47
  5. Step 5: Solve for x
    x = 110,088.47/277.77
  6. Step 6: Final answer
    x = 396.33

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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.