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Finding the Fourth Proportional to 490.33, 676.65 and 342.91

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Solution

The fourth proportional to 490.33, 676.65 and 342.91 is: 473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.33 : 676.65 = 342.91 : x
  2. Step 2: Convert to fraction form
    490.33/676.65 = 342.91/x
  3. Step 3: Cross multiply
    490.33x = 676.65 × 342.91
  4. Step 4: Simplify right side
    490.33x = 232,030.05
  5. Step 5: Solve for x
    x = 232,030.05/490.33
  6. Step 6: Final answer
    x = 473.21

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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.