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Finding the Fourth Proportional to 358.28, 494.48 and 216.50

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Solution

The fourth proportional to 358.28, 494.48 and 216.50 is: 298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.28 : 494.48 = 216.50 : x
  2. Step 2: Convert to fraction form
    358.28/494.48 = 216.50/x
  3. Step 3: Cross multiply
    358.28x = 494.48 × 216.50
  4. Step 4: Simplify right side
    358.28x = 107,054.92
  5. Step 5: Solve for x
    x = 107,054.92/358.28
  6. Step 6: Final answer
    x = 298.80

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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.