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Finding the Fourth Proportional to 419.69, 579.22 and 303.32

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Solution

The fourth proportional to 419.69, 579.22 and 303.32 is: 418.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.69 : 579.22 = 303.32 : x
  2. Step 2: Convert to fraction form
    419.69/579.22 = 303.32/x
  3. Step 3: Cross multiply
    419.69x = 579.22 × 303.32
  4. Step 4: Simplify right side
    419.69x = 175,689.01
  5. Step 5: Solve for x
    x = 175,689.01/419.69
  6. Step 6: Final answer
    x = 418.62

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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.