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Finding the Fourth Proportional to 333.40, 459.84 and 298.84

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Solution

The fourth proportional to 333.40, 459.84 and 298.84 is: 412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.40 : 459.84 = 298.84 : x
  2. Step 2: Convert to fraction form
    333.40/459.84 = 298.84/x
  3. Step 3: Cross multiply
    333.40x = 459.84 × 298.84
  4. Step 4: Simplify right side
    333.40x = 137,418.59
  5. Step 5: Solve for x
    x = 137,418.59/333.40
  6. Step 6: Final answer
    x = 412.17

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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.