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Finding the Fourth Proportional to 342.97, 511.19 and 323.51

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Solution

The fourth proportional to 342.97, 511.19 and 323.51 is: 482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.97 : 511.19 = 323.51 : x
  2. Step 2: Convert to fraction form
    342.97/511.19 = 323.51/x
  3. Step 3: Cross multiply
    342.97x = 511.19 × 323.51
  4. Step 4: Simplify right side
    342.97x = 165,370.90
  5. Step 5: Solve for x
    x = 165,370.90/342.97
  6. Step 6: Final answer
    x = 482.18

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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.