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Finding the Fourth Proportional to 395.14, 544.89 and 340.06

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Solution

The fourth proportional to 395.14, 544.89 and 340.06 is: 468.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.14 : 544.89 = 340.06 : x
  2. Step 2: Convert to fraction form
    395.14/544.89 = 340.06/x
  3. Step 3: Cross multiply
    395.14x = 544.89 × 340.06
  4. Step 4: Simplify right side
    395.14x = 185,295.29
  5. Step 5: Solve for x
    x = 185,295.29/395.14
  6. Step 6: Final answer
    x = 468.94

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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.