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Finding the Fourth Proportional to 274.50, 376.65 and 271.98

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Solution

The fourth proportional to 274.50, 376.65 and 271.98 is: 373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 376.65 = 271.98 : x
  2. Step 2: Convert to fraction form
    274.50/376.65 = 271.98/x
  3. Step 3: Cross multiply
    274.50x = 376.65 × 271.98
  4. Step 4: Simplify right side
    274.50x = 102,441.27
  5. Step 5: Solve for x
    x = 102,441.27/274.50
  6. Step 6: Final answer
    x = 373.19

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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.