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Finding the Fourth Proportional to 304.16, 453.60 and 299.70

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Solution

The fourth proportional to 304.16, 453.60 and 299.70 is: 446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.16 : 453.60 = 299.70 : x
  2. Step 2: Convert to fraction form
    304.16/453.60 = 299.70/x
  3. Step 3: Cross multiply
    304.16x = 453.60 × 299.70
  4. Step 4: Simplify right side
    304.16x = 135,943.92
  5. Step 5: Solve for x
    x = 135,943.92/304.16
  6. Step 6: Final answer
    x = 446.96

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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.