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Finding the Fourth Proportional to 342.75, 511.19 and 309.96

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Solution

The fourth proportional to 342.75, 511.19 and 309.96 is: 462.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.75 : 511.19 = 309.96 : x
  2. Step 2: Convert to fraction form
    342.75/511.19 = 309.96/x
  3. Step 3: Cross multiply
    342.75x = 511.19 × 309.96
  4. Step 4: Simplify right side
    342.75x = 158,446.90
  5. Step 5: Solve for x
    x = 158,446.90/342.75
  6. Step 6: Final answer
    x = 462.28

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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.