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Finding the Fourth Proportional to 289.84, 400.16 and 184.94

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Solution

The fourth proportional to 289.84, 400.16 and 184.94 is: 255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.84 : 400.16 = 184.94 : x
  2. Step 2: Convert to fraction form
    289.84/400.16 = 184.94/x
  3. Step 3: Cross multiply
    289.84x = 400.16 × 184.94
  4. Step 4: Simplify right side
    289.84x = 74,005.59
  5. Step 5: Solve for x
    x = 74,005.59/289.84
  6. Step 6: Final answer
    x = 255.33

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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.