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Finding the Fourth Proportional to 304.45, 458.65 and 300.67

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Solution

The fourth proportional to 304.45, 458.65 and 300.67 is: 452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.45 : 458.65 = 300.67 : x
  2. Step 2: Convert to fraction form
    304.45/458.65 = 300.67/x
  3. Step 3: Cross multiply
    304.45x = 458.65 × 300.67
  4. Step 4: Simplify right side
    304.45x = 137,902.30
  5. Step 5: Solve for x
    x = 137,902.30/304.45
  6. Step 6: Final answer
    x = 452.96

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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.