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Finding the Fourth Proportional to 277.82, 384.98 and 274.34

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Solution

The fourth proportional to 277.82, 384.98 and 274.34 is: 380.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.82 : 384.98 = 274.34 : x
  2. Step 2: Convert to fraction form
    277.82/384.98 = 274.34/x
  3. Step 3: Cross multiply
    277.82x = 384.98 × 274.34
  4. Step 4: Simplify right side
    277.82x = 105,615.41
  5. Step 5: Solve for x
    x = 105,615.41/277.82
  6. Step 6: Final answer
    x = 380.16

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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.