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Finding the Fourth Proportional to 333.34, 459.34 and 284.13

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Solution

The fourth proportional to 333.34, 459.34 and 284.13 is: 391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.34 : 459.34 = 284.13 : x
  2. Step 2: Convert to fraction form
    333.34/459.34 = 284.13/x
  3. Step 3: Cross multiply
    333.34x = 459.34 × 284.13
  4. Step 4: Simplify right side
    333.34x = 130,511.56
  5. Step 5: Solve for x
    x = 130,511.56/333.34
  6. Step 6: Final answer
    x = 391.53

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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.