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Finding the Fourth Proportional to 277.54, 385.71 and 274.10

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Solution

The fourth proportional to 277.54, 385.71 and 274.10 is: 380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 385.71 = 274.10 : x
  2. Step 2: Convert to fraction form
    277.54/385.71 = 274.10/x
  3. Step 3: Cross multiply
    277.54x = 385.71 × 274.10
  4. Step 4: Simplify right side
    277.54x = 105,723.11
  5. Step 5: Solve for x
    x = 105,723.11/277.54
  6. Step 6: Final answer
    x = 380.93

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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.