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Finding the Fourth Proportional to 333.45, 459.36 and 259.56

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Solution

The fourth proportional to 333.45, 459.36 and 259.56 is: 357.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.45 : 459.36 = 259.56 : x
  2. Step 2: Convert to fraction form
    333.45/459.36 = 259.56/x
  3. Step 3: Cross multiply
    333.45x = 459.36 × 259.56
  4. Step 4: Simplify right side
    333.45x = 119,231.48
  5. Step 5: Solve for x
    x = 119,231.48/333.45
  6. Step 6: Final answer
    x = 357.57

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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.