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Finding the Fourth Proportional to 332.83, 459.27 and 208.45

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Solution

The fourth proportional to 332.83, 459.27 and 208.45 is: 287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.83 : 459.27 = 208.45 : x
  2. Step 2: Convert to fraction form
    332.83/459.27 = 208.45/x
  3. Step 3: Cross multiply
    332.83x = 459.27 × 208.45
  4. Step 4: Simplify right side
    332.83x = 95,734.11
  5. Step 5: Solve for x
    x = 95,734.11/332.83
  6. Step 6: Final answer
    x = 287.63

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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.