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Finding the Fourth Proportional to 336.00, 503.84 and 199.06

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Solution

The fourth proportional to 336.00, 503.84 and 199.06 is: 298.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.00 : 503.84 = 199.06 : x
  2. Step 2: Convert to fraction form
    336.00/503.84 = 199.06/x
  3. Step 3: Cross multiply
    336.00x = 503.84 × 199.06
  4. Step 4: Simplify right side
    336.00x = 100,293.40
  5. Step 5: Solve for x
    x = 100,293.40/336.00
  6. Step 6: Final answer
    x = 298.50

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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.