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Finding the Fourth Proportional to 305.48, 421.39 and 189.02

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Solution

The fourth proportional to 305.48, 421.39 and 189.02 is: 260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.48 : 421.39 = 189.02 : x
  2. Step 2: Convert to fraction form
    305.48/421.39 = 189.02/x
  3. Step 3: Cross multiply
    305.48x = 421.39 × 189.02
  4. Step 4: Simplify right side
    305.48x = 79,648.56
  5. Step 5: Solve for x
    x = 79,648.56/305.48
  6. Step 6: Final answer
    x = 260.74

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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.