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Finding the Fourth Proportional to 449.06, 619.99 and 309.13

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Solution

The fourth proportional to 449.06, 619.99 and 309.13 is: 426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.06 : 619.99 = 309.13 : x
  2. Step 2: Convert to fraction form
    449.06/619.99 = 309.13/x
  3. Step 3: Cross multiply
    449.06x = 619.99 × 309.13
  4. Step 4: Simplify right side
    449.06x = 191,657.51
  5. Step 5: Solve for x
    x = 191,657.51/449.06
  6. Step 6: Final answer
    x = 426.80

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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.