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Finding the Fourth Proportional to 414.16, 571.50 and 289.60

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Solution

The fourth proportional to 414.16, 571.50 and 289.60 is: 399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.50 = 289.60 : x
  2. Step 2: Convert to fraction form
    414.16/571.50 = 289.60/x
  3. Step 3: Cross multiply
    414.16x = 571.50 × 289.60
  4. Step 4: Simplify right side
    414.16x = 165,506.40
  5. Step 5: Solve for x
    x = 165,506.40/414.16
  6. Step 6: Final answer
    x = 399.62

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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.