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Finding the Fourth Proportional to 277.32, 385.32 and 274.50

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Solution

The fourth proportional to 277.32, 385.32 and 274.50 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.32 : 385.32 = 274.50 : x
  2. Step 2: Convert to fraction form
    277.32/385.32 = 274.50/x
  3. Step 3: Cross multiply
    277.32x = 385.32 × 274.50
  4. Step 4: Simplify right side
    277.32x = 105,770.34
  5. Step 5: Solve for x
    x = 105,770.34/277.32
  6. Step 6: Final answer
    x = 381.40

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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.