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Finding the Fourth Proportional to 446.84, 616.94 and 289.68

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Solution

The fourth proportional to 446.84, 616.94 and 289.68 is: 399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.84 : 616.94 = 289.68 : x
  2. Step 2: Convert to fraction form
    446.84/616.94 = 289.68/x
  3. Step 3: Cross multiply
    446.84x = 616.94 × 289.68
  4. Step 4: Simplify right side
    446.84x = 178,715.18
  5. Step 5: Solve for x
    x = 178,715.18/446.84
  6. Step 6: Final answer
    x = 399.95

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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.