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Finding the Fourth Proportional to 358.75, 490.81 and 357.21

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Solution

The fourth proportional to 358.75, 490.81 and 357.21 is: 488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.75 : 490.81 = 357.21 : x
  2. Step 2: Convert to fraction form
    358.75/490.81 = 357.21/x
  3. Step 3: Cross multiply
    358.75x = 490.81 × 357.21
  4. Step 4: Simplify right side
    358.75x = 175,322.02
  5. Step 5: Solve for x
    x = 175,322.02/358.75
  6. Step 6: Final answer
    x = 488.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.