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Finding the Fourth Proportional to 495.37, 683.65 and 274.34

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Solution

The fourth proportional to 495.37, 683.65 and 274.34 is: 378.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.37 : 683.65 = 274.34 : x
  2. Step 2: Convert to fraction form
    495.37/683.65 = 274.34/x
  3. Step 3: Cross multiply
    495.37x = 683.65 × 274.34
  4. Step 4: Simplify right side
    495.37x = 187,550.49
  5. Step 5: Solve for x
    x = 187,550.49/495.37
  6. Step 6: Final answer
    x = 378.61

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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.