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Finding the Fourth Proportional to 449.29, 618.42 and 318.07

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Solution

The fourth proportional to 449.29, 618.42 and 318.07 is: 437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.29 : 618.42 = 318.07 : x
  2. Step 2: Convert to fraction form
    449.29/618.42 = 318.07/x
  3. Step 3: Cross multiply
    449.29x = 618.42 × 318.07
  4. Step 4: Simplify right side
    449.29x = 196,699.26
  5. Step 5: Solve for x
    x = 196,699.26/449.29
  6. Step 6: Final answer
    x = 437.80

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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.