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Finding the Fourth Proportional to 423.36, 633.87 and 308.07

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Solution

The fourth proportional to 423.36, 633.87 and 308.07 is: 461.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 633.87 = 308.07 : x
  2. Step 2: Convert to fraction form
    423.36/633.87 = 308.07/x
  3. Step 3: Cross multiply
    423.36x = 633.87 × 308.07
  4. Step 4: Simplify right side
    423.36x = 195,276.33
  5. Step 5: Solve for x
    x = 195,276.33/423.36
  6. Step 6: Final answer
    x = 461.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.