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Finding the Fourth Proportional to 376.13, 515.74 and 339.14

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Solution

The fourth proportional to 376.13, 515.74 and 339.14 is: 465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.13 : 515.74 = 339.14 : x
  2. Step 2: Convert to fraction form
    376.13/515.74 = 339.14/x
  3. Step 3: Cross multiply
    376.13x = 515.74 × 339.14
  4. Step 4: Simplify right side
    376.13x = 174,908.06
  5. Step 5: Solve for x
    x = 174,908.06/376.13
  6. Step 6: Final answer
    x = 465.02

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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.