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Finding the Fourth Proportional to 358.89, 496.16 and 303.50

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Solution

The fourth proportional to 358.89, 496.16 and 303.50 is: 419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.89 : 496.16 = 303.50 : x
  2. Step 2: Convert to fraction form
    358.89/496.16 = 303.50/x
  3. Step 3: Cross multiply
    358.89x = 496.16 × 303.50
  4. Step 4: Simplify right side
    358.89x = 150,585.42
  5. Step 5: Solve for x
    x = 150,585.42/358.89
  6. Step 6: Final answer
    x = 419.59

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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.