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Finding the Fourth Proportional to 446.73, 616.13 and 289.40

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Solution

The fourth proportional to 446.73, 616.13 and 289.40 is: 399.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.73 : 616.13 = 289.40 : x
  2. Step 2: Convert to fraction form
    446.73/616.13 = 289.40/x
  3. Step 3: Cross multiply
    446.73x = 616.13 × 289.40
  4. Step 4: Simplify right side
    446.73x = 178,303.49
  5. Step 5: Solve for x
    x = 178,303.49/446.73
  6. Step 6: Final answer
    x = 399.13

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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.