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Finding the Fourth Proportional to 377.06, 517.54 and 334.68

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Solution

The fourth proportional to 377.06, 517.54 and 334.68 is: 459.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.06 : 517.54 = 334.68 : x
  2. Step 2: Convert to fraction form
    377.06/517.54 = 334.68/x
  3. Step 3: Cross multiply
    377.06x = 517.54 × 334.68
  4. Step 4: Simplify right side
    377.06x = 173,210.29
  5. Step 5: Solve for x
    x = 173,210.29/377.06
  6. Step 6: Final answer
    x = 459.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.