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Finding the Fourth Proportional to 408.59, 563.29 and 290.63

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Solution

The fourth proportional to 408.59, 563.29 and 290.63 is: 400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.59 : 563.29 = 290.63 : x
  2. Step 2: Convert to fraction form
    408.59/563.29 = 290.63/x
  3. Step 3: Cross multiply
    408.59x = 563.29 × 290.63
  4. Step 4: Simplify right side
    408.59x = 163,709.65
  5. Step 5: Solve for x
    x = 163,709.65/408.59
  6. Step 6: Final answer
    x = 400.67

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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.