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Finding the Fourth Proportional to 334.80, 442.80 and 334.80

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Solution

The fourth proportional to 334.80, 442.80 and 334.80 is: 442.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.80 : 442.80 = 334.80 : x
  2. Step 2: Convert to fraction form
    334.80/442.80 = 334.80/x
  3. Step 3: Cross multiply
    334.80x = 442.80 × 334.80
  4. Step 4: Simplify right side
    334.80x = 148,249.44
  5. Step 5: Solve for x
    x = 148,249.44/334.80
  6. Step 6: Final answer
    x = 442.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.