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Finding the Fourth Proportional to 446.60, 616.17 and 289.24

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Solution

The fourth proportional to 446.60, 616.17 and 289.24 is: 399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.60 : 616.17 = 289.24 : x
  2. Step 2: Convert to fraction form
    446.60/616.17 = 289.24/x
  3. Step 3: Cross multiply
    446.60x = 616.17 × 289.24
  4. Step 4: Simplify right side
    446.60x = 178,219.47
  5. Step 5: Solve for x
    x = 178,219.47/446.60
  6. Step 6: Final answer
    x = 399.06

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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.