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Finding the Fourth Proportional to 277.54, 380.96 and 245.76

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Solution

The fourth proportional to 277.54, 380.96 and 245.76 is: 337.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.54 : 380.96 = 245.76 : x
  2. Step 2: Convert to fraction form
    277.54/380.96 = 245.76/x
  3. Step 3: Cross multiply
    277.54x = 380.96 × 245.76
  4. Step 4: Simplify right side
    277.54x = 93,623.50
  5. Step 5: Solve for x
    x = 93,623.50/277.54
  6. Step 6: Final answer
    x = 337.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.