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Finding the Fourth Proportional to 494.98, 683.15 and 285.19

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Solution

The fourth proportional to 494.98, 683.15 and 285.19 is: 393.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.98 : 683.15 = 285.19 : x
  2. Step 2: Convert to fraction form
    494.98/683.15 = 285.19/x
  3. Step 3: Cross multiply
    494.98x = 683.15 × 285.19
  4. Step 4: Simplify right side
    494.98x = 194,827.46
  5. Step 5: Solve for x
    x = 194,827.46/494.98
  6. Step 6: Final answer
    x = 393.60

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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.