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Finding the Fourth Proportional to 305.08, 459.31 and 209.52

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Solution

The fourth proportional to 305.08, 459.31 and 209.52 is: 315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 459.31 = 209.52 : x
  2. Step 2: Convert to fraction form
    305.08/459.31 = 209.52/x
  3. Step 3: Cross multiply
    305.08x = 459.31 × 209.52
  4. Step 4: Simplify right side
    305.08x = 96,234.63
  5. Step 5: Solve for x
    x = 96,234.63/305.08
  6. Step 6: Final answer
    x = 315.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.