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Finding the Fourth Proportional to 495.05, 683.18 and 274.00

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Solution

The fourth proportional to 495.05, 683.18 and 274.00 is: 378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.05 : 683.18 = 274.00 : x
  2. Step 2: Convert to fraction form
    495.05/683.18 = 274.00/x
  3. Step 3: Cross multiply
    495.05x = 683.18 × 274.00
  4. Step 4: Simplify right side
    495.05x = 187,186.53
  5. Step 5: Solve for x
    x = 187,186.53/495.05
  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.