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Finding the Fourth Proportional to 277.77, 385.16 and 268.54

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Solution

The fourth proportional to 277.77, 385.16 and 268.54 is: 372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.77 : 385.16 = 268.54 : x
  2. Step 2: Convert to fraction form
    277.77/385.16 = 268.54/x
  3. Step 3: Cross multiply
    277.77x = 385.16 × 268.54
  4. Step 4: Simplify right side
    277.77x = 103,430.87
  5. Step 5: Solve for x
    x = 103,430.87/277.77
  6. Step 6: Final answer
    x = 372.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.