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Finding the Fourth Proportional to 340.12, 509.44 and 248.62

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Solution

The fourth proportional to 340.12, 509.44 and 248.62 is: 372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.12 : 509.44 = 248.62 : x
  2. Step 2: Convert to fraction form
    340.12/509.44 = 248.62/x
  3. Step 3: Cross multiply
    340.12x = 509.44 × 248.62
  4. Step 4: Simplify right side
    340.12x = 126,656.97
  5. Step 5: Solve for x
    x = 126,656.97/340.12
  6. Step 6: Final answer
    x = 372.39

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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.