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Finding the Fourth Proportional to 509.75, 703.46 and 276.88

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Solution

The fourth proportional to 509.75, 703.46 and 276.88 is: 382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.75 : 703.46 = 276.88 : x
  2. Step 2: Convert to fraction form
    509.75/703.46 = 276.88/x
  3. Step 3: Cross multiply
    509.75x = 703.46 × 276.88
  4. Step 4: Simplify right side
    509.75x = 194,774.00
  5. Step 5: Solve for x
    x = 194,774.00/509.75
  6. Step 6: Final answer
    x = 382.10

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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.