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Finding the Fourth Proportional to 495.05, 683.15 and 274.01

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Solution

The fourth proportional to 495.05, 683.15 and 274.01 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.05 : 683.15 = 274.01 : x
  2. Step 2: Convert to fraction form
    495.05/683.15 = 274.01/x
  3. Step 3: Cross multiply
    495.05x = 683.15 × 274.01
  4. Step 4: Simplify right side
    495.05x = 187,185.15
  5. Step 5: Solve for x
    x = 187,185.15/495.05
  6. Step 6: Final answer
    x = 378.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.