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Finding the Fourth Proportional to 502.94, 755.14 and 356.34

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Solution

The fourth proportional to 502.94, 755.14 and 356.34 is: 535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 755.14 = 356.34 : x
  2. Step 2: Convert to fraction form
    502.94/755.14 = 356.34/x
  3. Step 3: Cross multiply
    502.94x = 755.14 × 356.34
  4. Step 4: Simplify right side
    502.94x = 269,086.59
  5. Step 5: Solve for x
    x = 269,086.59/502.94
  6. Step 6: Final answer
    x = 535.03

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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.