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Finding the Fourth Proportional to 509.25, 702.78 and 276.39

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Solution

The fourth proportional to 509.25, 702.78 and 276.39 is: 381.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.25 : 702.78 = 276.39 : x
  2. Step 2: Convert to fraction form
    509.25/702.78 = 276.39/x
  3. Step 3: Cross multiply
    509.25x = 702.78 × 276.39
  4. Step 4: Simplify right side
    509.25x = 194,241.36
  5. Step 5: Solve for x
    x = 194,241.36/509.25
  6. Step 6: Final answer
    x = 381.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.