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Finding the Fourth Proportional to 307.56, 458.82 and 299.19

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Solution

The fourth proportional to 307.56, 458.82 and 299.19 is: 446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.56 : 458.82 = 299.19 : x
  2. Step 2: Convert to fraction form
    307.56/458.82 = 299.19/x
  3. Step 3: Cross multiply
    307.56x = 458.82 × 299.19
  4. Step 4: Simplify right side
    307.56x = 137,270.57
  5. Step 5: Solve for x
    x = 137,270.57/307.56
  6. Step 6: Final answer
    x = 446.33

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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.