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Finding the Fourth Proportional to 406.88, 610.20 and 190.40

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Solution

The fourth proportional to 406.88, 610.20 and 190.40 is: 285.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.88 : 610.20 = 190.40 : x
  2. Step 2: Convert to fraction form
    406.88/610.20 = 190.40/x
  3. Step 3: Cross multiply
    406.88x = 610.20 × 190.40
  4. Step 4: Simplify right side
    406.88x = 116,182.08
  5. Step 5: Solve for x
    x = 116,182.08/406.88
  6. Step 6: Final answer
    x = 285.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.