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Finding the Fourth Proportional to 305.64, 421.61 and 189.14

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Solution

The fourth proportional to 305.64, 421.61 and 189.14 is: 260.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 421.61 = 189.14 : x
  2. Step 2: Convert to fraction form
    305.64/421.61 = 189.14/x
  3. Step 3: Cross multiply
    305.64x = 421.61 × 189.14
  4. Step 4: Simplify right side
    305.64x = 79,740.26
  5. Step 5: Solve for x
    x = 79,740.26/305.64
  6. Step 6: Final answer
    x = 260.90

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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.