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Finding the Fourth Proportional to 495.23, 683.24 and 318.35

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Solution

The fourth proportional to 495.23, 683.24 and 318.35 is: 439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.23 : 683.24 = 318.35 : x
  2. Step 2: Convert to fraction form
    495.23/683.24 = 318.35/x
  3. Step 3: Cross multiply
    495.23x = 683.24 × 318.35
  4. Step 4: Simplify right side
    495.23x = 217,504.45
  5. Step 5: Solve for x
    x = 217,504.45/495.23
  6. Step 6: Final answer
    x = 439.20

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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.