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Finding the Fourth Proportional to 309.46, 462.89 and 304.75

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Solution

The fourth proportional to 309.46, 462.89 and 304.75 is: 455.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 462.89 = 304.75 : x
  2. Step 2: Convert to fraction form
    309.46/462.89 = 304.75/x
  3. Step 3: Cross multiply
    309.46x = 462.89 × 304.75
  4. Step 4: Simplify right side
    309.46x = 141,065.73
  5. Step 5: Solve for x
    x = 141,065.73/309.46
  6. Step 6: Final answer
    x = 455.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.