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Finding the Fourth Proportional to 377.45, 518.65 and 307.34

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Solution

The fourth proportional to 377.45, 518.65 and 307.34 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.45 : 518.65 = 307.34 : x
  2. Step 2: Convert to fraction form
    377.45/518.65 = 307.34/x
  3. Step 3: Cross multiply
    377.45x = 518.65 × 307.34
  4. Step 4: Simplify right side
    377.45x = 159,401.89
  5. Step 5: Solve for x
    x = 159,401.89/377.45
  6. Step 6: Final answer
    x = 422.31

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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.