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Finding the Fourth Proportional to 495.40, 683.64 and 274.35

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Solution

The fourth proportional to 495.40, 683.64 and 274.35 is: 378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.40 : 683.64 = 274.35 : x
  2. Step 2: Convert to fraction form
    495.40/683.64 = 274.35/x
  3. Step 3: Cross multiply
    495.40x = 683.64 × 274.35
  4. Step 4: Simplify right side
    495.40x = 187,556.63
  5. Step 5: Solve for x
    x = 187,556.63/495.40
  6. Step 6: Final answer
    x = 378.60

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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.