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Finding the Fourth Proportional to 333.50, 459.89 and 223.01

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Solution

The fourth proportional to 333.50, 459.89 and 223.01 is: 307.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.50 : 459.89 = 223.01 : x
  2. Step 2: Convert to fraction form
    333.50/459.89 = 223.01/x
  3. Step 3: Cross multiply
    333.50x = 459.89 × 223.01
  4. Step 4: Simplify right side
    333.50x = 102,556.65
  5. Step 5: Solve for x
    x = 102,556.65/333.50
  6. Step 6: Final answer
    x = 307.52

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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.