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Finding the Fourth Proportional to 306.87, 423.63 and 274.05

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Solution

The fourth proportional to 306.87, 423.63 and 274.05 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.87 : 423.63 = 274.05 : x
  2. Step 2: Convert to fraction form
    306.87/423.63 = 274.05/x
  3. Step 3: Cross multiply
    306.87x = 423.63 × 274.05
  4. Step 4: Simplify right side
    306.87x = 116,095.80
  5. Step 5: Solve for x
    x = 116,095.80/306.87
  6. Step 6: Final answer
    x = 378.32

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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.