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Finding the Fourth Proportional to 495.28, 683.18 and 298.75

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Solution

The fourth proportional to 495.28, 683.18 and 298.75 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 683.18 = 298.75 : x
  2. Step 2: Convert to fraction form
    495.28/683.18 = 298.75/x
  3. Step 3: Cross multiply
    495.28x = 683.18 × 298.75
  4. Step 4: Simplify right side
    495.28x = 204,100.03
  5. Step 5: Solve for x
    x = 204,100.03/495.28
  6. Step 6: Final answer
    x = 412.09

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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.