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Finding the Fourth Proportional to 333.90, 459.93 and 281.38

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Solution

The fourth proportional to 333.90, 459.93 and 281.38 is: 387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.90 : 459.93 = 281.38 : x
  2. Step 2: Convert to fraction form
    333.90/459.93 = 281.38/x
  3. Step 3: Cross multiply
    333.90x = 459.93 × 281.38
  4. Step 4: Simplify right side
    333.90x = 129,415.10
  5. Step 5: Solve for x
    x = 129,415.10/333.90
  6. Step 6: Final answer
    x = 387.59

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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.