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Finding the Fourth Proportional to 305.50, 421.60 and 189.04

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Solution

The fourth proportional to 305.50, 421.60 and 189.04 is: 260.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.50 : 421.60 = 189.04 : x
  2. Step 2: Convert to fraction form
    305.50/421.60 = 189.04/x
  3. Step 3: Cross multiply
    305.50x = 421.60 × 189.04
  4. Step 4: Simplify right side
    305.50x = 79,699.26
  5. Step 5: Solve for x
    x = 79,699.26/305.50
  6. Step 6: Final answer
    x = 260.88

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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.