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Finding the Fourth Proportional to 343.42, 512.06 and 339.16

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Solution

The fourth proportional to 343.42, 512.06 and 339.16 is: 505.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 512.06 = 339.16 : x
  2. Step 2: Convert to fraction form
    343.42/512.06 = 339.16/x
  3. Step 3: Cross multiply
    343.42x = 512.06 × 339.16
  4. Step 4: Simplify right side
    343.42x = 173,670.27
  5. Step 5: Solve for x
    x = 173,670.27/343.42
  6. Step 6: Final answer
    x = 505.71

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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.