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Finding the Fourth Proportional to 334.42, 500.89 and 275.98

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Solution

The fourth proportional to 334.42, 500.89 and 275.98 is: 413.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.42 : 500.89 = 275.98 : x
  2. Step 2: Convert to fraction form
    334.42/500.89 = 275.98/x
  3. Step 3: Cross multiply
    334.42x = 500.89 × 275.98
  4. Step 4: Simplify right side
    334.42x = 138,232.43
  5. Step 5: Solve for x
    x = 138,232.43/334.42
  6. Step 6: Final answer
    x = 413.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.