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Finding the Fourth Proportional to 289.01, 398.99 and 184.25

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Solution

The fourth proportional to 289.01, 398.99 and 184.25 is: 254.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.01 : 398.99 = 184.25 : x
  2. Step 2: Convert to fraction form
    289.01/398.99 = 184.25/x
  3. Step 3: Cross multiply
    289.01x = 398.99 × 184.25
  4. Step 4: Simplify right side
    289.01x = 73,513.91
  5. Step 5: Solve for x
    x = 73,513.91/289.01
  6. Step 6: Final answer
    x = 254.36

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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.