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Finding the Fourth Proportional to 333.42, 459.66 and 222.84

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Solution

The fourth proportional to 333.42, 459.66 and 222.84 is: 307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.42 : 459.66 = 222.84 : x
  2. Step 2: Convert to fraction form
    333.42/459.66 = 222.84/x
  3. Step 3: Cross multiply
    333.42x = 459.66 × 222.84
  4. Step 4: Simplify right side
    333.42x = 102,430.63
  5. Step 5: Solve for x
    x = 102,430.63/333.42
  6. Step 6: Final answer
    x = 307.21

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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.