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Finding the Fourth Proportional to 353.23, 488.07 and 334.25

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Solution

The fourth proportional to 353.23, 488.07 and 334.25 is: 461.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.23 : 488.07 = 334.25 : x
  2. Step 2: Convert to fraction form
    353.23/488.07 = 334.25/x
  3. Step 3: Cross multiply
    353.23x = 488.07 × 334.25
  4. Step 4: Simplify right side
    353.23x = 163,137.40
  5. Step 5: Solve for x
    x = 163,137.40/353.23
  6. Step 6: Final answer
    x = 461.84

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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.