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Finding the Fourth Proportional to 393.99, 543.98 and 354.57

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Solution

The fourth proportional to 393.99, 543.98 and 354.57 is: 489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.99 : 543.98 = 354.57 : x
  2. Step 2: Convert to fraction form
    393.99/543.98 = 354.57/x
  3. Step 3: Cross multiply
    393.99x = 543.98 × 354.57
  4. Step 4: Simplify right side
    393.99x = 192,878.99
  5. Step 5: Solve for x
    x = 192,878.99/393.99
  6. Step 6: Final answer
    x = 489.55

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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.