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Finding the Fourth Proportional to 419.99, 580.16 and 355.19

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Solution

The fourth proportional to 419.99, 580.16 and 355.19 is: 490.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.99 : 580.16 = 355.19 : x
  2. Step 2: Convert to fraction form
    419.99/580.16 = 355.19/x
  3. Step 3: Cross multiply
    419.99x = 580.16 × 355.19
  4. Step 4: Simplify right side
    419.99x = 206,065.02
  5. Step 5: Solve for x
    x = 206,065.02/419.99
  6. Step 6: Final answer
    x = 490.65

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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.