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Finding the Fourth Proportional to 340.75, 509.56 and 254.14

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Solution

The fourth proportional to 340.75, 509.56 and 254.14 is: 380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.75 : 509.56 = 254.14 : x
  2. Step 2: Convert to fraction form
    340.75/509.56 = 254.14/x
  3. Step 3: Cross multiply
    340.75x = 509.56 × 254.14
  4. Step 4: Simplify right side
    340.75x = 129,499.58
  5. Step 5: Solve for x
    x = 129,499.58/340.75
  6. Step 6: Final answer
    x = 380.04

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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.