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Finding the Fourth Proportional to 333.43, 497.73 and 286.65

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Solution

The fourth proportional to 333.43, 497.73 and 286.65 is: 427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.43 : 497.73 = 286.65 : x
  2. Step 2: Convert to fraction form
    333.43/497.73 = 286.65/x
  3. Step 3: Cross multiply
    333.43x = 497.73 × 286.65
  4. Step 4: Simplify right side
    333.43x = 142,674.30
  5. Step 5: Solve for x
    x = 142,674.30/333.43
  6. Step 6: Final answer
    x = 427.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.