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Finding the Fourth Proportional to 307.08, 457.96 and 300.98

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Solution

The fourth proportional to 307.08, 457.96 and 300.98 is: 448.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.08 : 457.96 = 300.98 : x
  2. Step 2: Convert to fraction form
    307.08/457.96 = 300.98/x
  3. Step 3: Cross multiply
    307.08x = 457.96 × 300.98
  4. Step 4: Simplify right side
    307.08x = 137,836.80
  5. Step 5: Solve for x
    x = 137,836.80/307.08
  6. Step 6: Final answer
    x = 448.86

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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.