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Finding the Fourth Proportional to 277.30, 384.75 and 274.95

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Solution

The fourth proportional to 277.30, 384.75 and 274.95 is: 381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.30 : 384.75 = 274.95 : x
  2. Step 2: Convert to fraction form
    277.30/384.75 = 274.95/x
  3. Step 3: Cross multiply
    277.30x = 384.75 × 274.95
  4. Step 4: Simplify right side
    277.30x = 105,787.01
  5. Step 5: Solve for x
    x = 105,787.01/277.30
  6. Step 6: Final answer
    x = 381.49

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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.