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Finding the Fourth Proportional to 357.45, 534.83 and 299.05

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Solution

The fourth proportional to 357.45, 534.83 and 299.05 is: 447.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.45 : 534.83 = 299.05 : x
  2. Step 2: Convert to fraction form
    357.45/534.83 = 299.05/x
  3. Step 3: Cross multiply
    357.45x = 534.83 × 299.05
  4. Step 4: Simplify right side
    357.45x = 159,940.91
  5. Step 5: Solve for x
    x = 159,940.91/357.45
  6. Step 6: Final answer
    x = 447.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.