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Finding the Fourth Proportional to 364.25, 544.07 and 343.19

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Solution

The fourth proportional to 364.25, 544.07 and 343.19 is: 512.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.25 : 544.07 = 343.19 : x
  2. Step 2: Convert to fraction form
    364.25/544.07 = 343.19/x
  3. Step 3: Cross multiply
    364.25x = 544.07 × 343.19
  4. Step 4: Simplify right side
    364.25x = 186,714.95
  5. Step 5: Solve for x
    x = 186,714.95/364.25
  6. Step 6: Final answer
    x = 512.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.