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Finding the Fourth Proportional to 423.64, 635.14 and 308.08

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Solution

The fourth proportional to 423.64, 635.14 and 308.08 is: 461.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.64 : 635.14 = 308.08 : x
  2. Step 2: Convert to fraction form
    423.64/635.14 = 308.08/x
  3. Step 3: Cross multiply
    423.64x = 635.14 × 308.08
  4. Step 4: Simplify right side
    423.64x = 195,673.93
  5. Step 5: Solve for x
    x = 195,673.93/423.64
  6. Step 6: Final answer
    x = 461.89

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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.