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Finding the Fourth Proportional to 495.25, 683.35 and 296.12

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Solution

The fourth proportional to 495.25, 683.35 and 296.12 is: 408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.25 : 683.35 = 296.12 : x
  2. Step 2: Convert to fraction form
    495.25/683.35 = 296.12/x
  3. Step 3: Cross multiply
    495.25x = 683.35 × 296.12
  4. Step 4: Simplify right side
    495.25x = 202,354.57
  5. Step 5: Solve for x
    x = 202,354.57/495.25
  6. Step 6: Final answer
    x = 408.59

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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.