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Finding the Fourth Proportional to 502.94, 754.01 and 308.03

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Solution

The fourth proportional to 502.94, 754.01 and 308.03 is: 461.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 754.01 = 308.03 : x
  2. Step 2: Convert to fraction form
    502.94/754.01 = 308.03/x
  3. Step 3: Cross multiply
    502.94x = 754.01 × 308.03
  4. Step 4: Simplify right side
    502.94x = 232,260.36
  5. Step 5: Solve for x
    x = 232,260.36/502.94
  6. Step 6: Final answer
    x = 461.81

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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.