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Finding the Fourth Proportional to 308.92, 420.87 and 302.60

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Solution

The fourth proportional to 308.92, 420.87 and 302.60 is: 412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.92 : 420.87 = 302.60 : x
  2. Step 2: Convert to fraction form
    308.92/420.87 = 302.60/x
  3. Step 3: Cross multiply
    308.92x = 420.87 × 302.60
  4. Step 4: Simplify right side
    308.92x = 127,351.64
  5. Step 5: Solve for x
    x = 127,351.64/308.92
  6. Step 6: Final answer
    x = 412.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.