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Finding the Fourth Proportional to 399.63, 599.54 and 302.43

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Solution

The fourth proportional to 399.63, 599.54 and 302.43 is: 453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.63 : 599.54 = 302.43 : x
  2. Step 2: Convert to fraction form
    399.63/599.54 = 302.43/x
  3. Step 3: Cross multiply
    399.63x = 599.54 × 302.43
  4. Step 4: Simplify right side
    399.63x = 181,318.88
  5. Step 5: Solve for x
    x = 181,318.88/399.63
  6. Step 6: Final answer
    x = 453.72

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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.