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Finding the Fourth Proportional to 333.40, 498.95 and 229.99

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Solution

The fourth proportional to 333.40, 498.95 and 229.99 is: 344.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.40 : 498.95 = 229.99 : x
  2. Step 2: Convert to fraction form
    333.40/498.95 = 229.99/x
  3. Step 3: Cross multiply
    333.40x = 498.95 × 229.99
  4. Step 4: Simplify right side
    333.40x = 114,754.09
  5. Step 5: Solve for x
    x = 114,754.09/333.40
  6. Step 6: Final answer
    x = 344.19

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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.