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Finding the Fourth Proportional to 343.36, 511.38 and 339.13

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Solution

The fourth proportional to 343.36, 511.38 and 339.13 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.36 : 511.38 = 339.13 : x
  2. Step 2: Convert to fraction form
    343.36/511.38 = 339.13/x
  3. Step 3: Cross multiply
    343.36x = 511.38 × 339.13
  4. Step 4: Simplify right side
    343.36x = 173,424.30
  5. Step 5: Solve for x
    x = 173,424.30/343.36
  6. Step 6: Final answer
    x = 505.08

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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.