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Finding the Fourth Proportional to 334.40, 459.99 and 290.03

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Solution

The fourth proportional to 334.40, 459.99 and 290.03 is: 398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.40 : 459.99 = 290.03 : x
  2. Step 2: Convert to fraction form
    334.40/459.99 = 290.03/x
  3. Step 3: Cross multiply
    334.40x = 459.99 × 290.03
  4. Step 4: Simplify right side
    334.40x = 133,408.60
  5. Step 5: Solve for x
    x = 133,408.60/334.40
  6. Step 6: Final answer
    x = 398.96

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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.