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Finding the Fourth Proportional to 307.68, 458.94 and 300.48

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Solution

The fourth proportional to 307.68, 458.94 and 300.48 is: 448.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 458.94 = 300.48 : x
  2. Step 2: Convert to fraction form
    307.68/458.94 = 300.48/x
  3. Step 3: Cross multiply
    307.68x = 458.94 × 300.48
  4. Step 4: Simplify right side
    307.68x = 137,902.29
  5. Step 5: Solve for x
    x = 137,902.29/307.68
  6. Step 6: Final answer
    x = 448.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.