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Finding the Fourth Proportional to 434.34, 599.12 and 351.31

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Solution

The fourth proportional to 434.34, 599.12 and 351.31 is: 484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.34 : 599.12 = 351.31 : x
  2. Step 2: Convert to fraction form
    434.34/599.12 = 351.31/x
  3. Step 3: Cross multiply
    434.34x = 599.12 × 351.31
  4. Step 4: Simplify right side
    434.34x = 210,476.85
  5. Step 5: Solve for x
    x = 210,476.85/434.34
  6. Step 6: Final answer
    x = 484.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.