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Finding the Fourth Proportional to 439.98, 607.23 and 300.24

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Solution

The fourth proportional to 439.98, 607.23 and 300.24 is: 414.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.98 : 607.23 = 300.24 : x
  2. Step 2: Convert to fraction form
    439.98/607.23 = 300.24/x
  3. Step 3: Cross multiply
    439.98x = 607.23 × 300.24
  4. Step 4: Simplify right side
    439.98x = 182,314.74
  5. Step 5: Solve for x
    x = 182,314.74/439.98
  6. Step 6: Final answer
    x = 414.37

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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.