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Finding the Fourth Proportional to 353, 489.40 and 333.56

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Solution

The fourth proportional to 353, 489.40 and 333.56 is: 462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    353 : 489.40 = 333.56 : x
  2. Step 2: Convert to fraction form
    353/489.40 = 333.56/x
  3. Step 3: Cross multiply
    353x = 489.40 × 333.56
  4. Step 4: Simplify right side
    353x = 163,244.26
  5. Step 5: Solve for x
    x = 163,244.26/353
  6. Step 6: Final answer
    x = 462.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.