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Finding the Fourth Proportional to 333.66, 501.41 and 275.34

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Solution

The fourth proportional to 333.66, 501.41 and 275.34 is: 413.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.66 : 501.41 = 275.34 : x
  2. Step 2: Convert to fraction form
    333.66/501.41 = 275.34/x
  3. Step 3: Cross multiply
    333.66x = 501.41 × 275.34
  4. Step 4: Simplify right side
    333.66x = 138,056.85
  5. Step 5: Solve for x
    x = 138,056.85/333.66
  6. Step 6: Final answer
    x = 413.77

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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.