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Finding the Fourth Proportional to 446.77, 616.62 and 289.36

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Solution

The fourth proportional to 446.77, 616.62 and 289.36 is: 399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.77 : 616.62 = 289.36 : x
  2. Step 2: Convert to fraction form
    446.77/616.62 = 289.36/x
  3. Step 3: Cross multiply
    446.77x = 616.62 × 289.36
  4. Step 4: Simplify right side
    446.77x = 178,425.16
  5. Step 5: Solve for x
    x = 178,425.16/446.77
  6. Step 6: Final answer
    x = 399.37

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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.