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Finding the Fourth Proportional to 332.78, 459.06 and 208.42

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Solution

The fourth proportional to 332.78, 459.06 and 208.42 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.78 : 459.06 = 208.42 : x
  2. Step 2: Convert to fraction form
    332.78/459.06 = 208.42/x
  3. Step 3: Cross multiply
    332.78x = 459.06 × 208.42
  4. Step 4: Simplify right side
    332.78x = 95,675.28
  5. Step 5: Solve for x
    x = 95,675.28/332.78
  6. Step 6: Final answer
    x = 287.50

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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.