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Finding the Fourth Proportional to 306.97, 423.63 and 188.92

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Solution

The fourth proportional to 306.97, 423.63 and 188.92 is: 260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.97 : 423.63 = 188.92 : x
  2. Step 2: Convert to fraction form
    306.97/423.63 = 188.92/x
  3. Step 3: Cross multiply
    306.97x = 423.63 × 188.92
  4. Step 4: Simplify right side
    306.97x = 80,032.18
  5. Step 5: Solve for x
    x = 80,032.18/306.97
  6. Step 6: Final answer
    x = 260.72

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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.