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Finding the Fourth Proportional to 406.90, 609.72 and 303.70

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Solution

The fourth proportional to 406.90, 609.72 and 303.70 is: 455.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.90 : 609.72 = 303.70 : x
  2. Step 2: Convert to fraction form
    406.90/609.72 = 303.70/x
  3. Step 3: Cross multiply
    406.90x = 609.72 × 303.70
  4. Step 4: Simplify right side
    406.90x = 185,171.96
  5. Step 5: Solve for x
    x = 185,171.96/406.90
  6. Step 6: Final answer
    x = 455.08

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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.