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Finding the Fourth Proportional to 449.93, 620.59 and 302.31

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Solution

The fourth proportional to 449.93, 620.59 and 302.31 is: 416.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.93 : 620.59 = 302.31 : x
  2. Step 2: Convert to fraction form
    449.93/620.59 = 302.31/x
  3. Step 3: Cross multiply
    449.93x = 620.59 × 302.31
  4. Step 4: Simplify right side
    449.93x = 187,610.56
  5. Step 5: Solve for x
    x = 187,610.56/449.93
  6. Step 6: Final answer
    x = 416.98

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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.