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Finding the Fourth Proportional to 333.06, 459.71 and 208.64

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Solution

The fourth proportional to 333.06, 459.71 and 208.64 is: 287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.06 : 459.71 = 208.64 : x
  2. Step 2: Convert to fraction form
    333.06/459.71 = 208.64/x
  3. Step 3: Cross multiply
    333.06x = 459.71 × 208.64
  4. Step 4: Simplify right side
    333.06x = 95,914.78
  5. Step 5: Solve for x
    x = 95,914.78/333.06
  6. Step 6: Final answer
    x = 287.98

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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.