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Finding the Fourth Proportional to 308.96, 423.60 and 303.50

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Solution

The fourth proportional to 308.96, 423.60 and 303.50 is: 416.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.96 : 423.60 = 303.50 : x
  2. Step 2: Convert to fraction form
    308.96/423.60 = 303.50/x
  3. Step 3: Cross multiply
    308.96x = 423.60 × 303.50
  4. Step 4: Simplify right side
    308.96x = 128,562.60
  5. Step 5: Solve for x
    x = 128,562.60/308.96
  6. Step 6: Final answer
    x = 416.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.