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Finding the Fourth Proportional to 419.63, 628.31 and 309.22

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Solution

The fourth proportional to 419.63, 628.31 and 309.22 is: 462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.63 : 628.31 = 309.22 : x
  2. Step 2: Convert to fraction form
    419.63/628.31 = 309.22/x
  3. Step 3: Cross multiply
    419.63x = 628.31 × 309.22
  4. Step 4: Simplify right side
    419.63x = 194,283.48
  5. Step 5: Solve for x
    x = 194,283.48/419.63
  6. Step 6: Final answer
    x = 462.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.