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Finding the Fourth Proportional to 445.44, 614.64 and 389.96

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Solution

The fourth proportional to 445.44, 614.64 and 389.96 is: 538.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.44 : 614.64 = 389.96 : x
  2. Step 2: Convert to fraction form
    445.44/614.64 = 389.96/x
  3. Step 3: Cross multiply
    445.44x = 614.64 × 389.96
  4. Step 4: Simplify right side
    445.44x = 239,685.01
  5. Step 5: Solve for x
    x = 239,685.01/445.44
  6. Step 6: Final answer
    x = 538.09

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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.