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Finding the Fourth Proportional to 434.40, 599.16 and 268.56

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Solution

The fourth proportional to 434.40, 599.16 and 268.56 is: 370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.40 : 599.16 = 268.56 : x
  2. Step 2: Convert to fraction form
    434.40/599.16 = 268.56/x
  3. Step 3: Cross multiply
    434.40x = 599.16 × 268.56
  4. Step 4: Simplify right side
    434.40x = 160,910.41
  5. Step 5: Solve for x
    x = 160,910.41/434.40
  6. Step 6: Final answer
    x = 370.42

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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.