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Finding the Fourth Proportional to 406.60, 610.30 and 201.40

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Solution

The fourth proportional to 406.60, 610.30 and 201.40 is: 302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.60 : 610.30 = 201.40 : x
  2. Step 2: Convert to fraction form
    406.60/610.30 = 201.40/x
  3. Step 3: Cross multiply
    406.60x = 610.30 × 201.40
  4. Step 4: Simplify right side
    406.60x = 122,914.42
  5. Step 5: Solve for x
    x = 122,914.42/406.60
  6. Step 6: Final answer
    x = 302.30

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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.