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Finding the Fourth Proportional to 406.22, 609.53 and 189.77

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Solution

The fourth proportional to 406.22, 609.53 and 189.77 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.22 : 609.53 = 189.77 : x
  2. Step 2: Convert to fraction form
    406.22/609.53 = 189.77/x
  3. Step 3: Cross multiply
    406.22x = 609.53 × 189.77
  4. Step 4: Simplify right side
    406.22x = 115,670.51
  5. Step 5: Solve for x
    x = 115,670.51/406.22
  6. Step 6: Final answer
    x = 284.75

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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.