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Finding the Fourth Proportional to 358.76, 494.30 and 299.53

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Solution

The fourth proportional to 358.76, 494.30 and 299.53 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.76 : 494.30 = 299.53 : x
  2. Step 2: Convert to fraction form
    358.76/494.30 = 299.53/x
  3. Step 3: Cross multiply
    358.76x = 494.30 × 299.53
  4. Step 4: Simplify right side
    358.76x = 148,059.05
  5. Step 5: Solve for x
    x = 148,059.05/358.76
  6. Step 6: Final answer
    x = 412.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.