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Finding the Fourth Proportional to 343.95, 471.46 and 339.33

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Solution

The fourth proportional to 343.95, 471.46 and 339.33 is: 465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.95 : 471.46 = 339.33 : x
  2. Step 2: Convert to fraction form
    343.95/471.46 = 339.33/x
  3. Step 3: Cross multiply
    343.95x = 471.46 × 339.33
  4. Step 4: Simplify right side
    343.95x = 159,980.52
  5. Step 5: Solve for x
    x = 159,980.52/343.95
  6. Step 6: Final answer
    x = 465.13

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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.