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Finding the Fourth Proportional to 434.12, 599.29 and 276.92

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Solution

The fourth proportional to 434.12, 599.29 and 276.92 is: 382.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 599.29 = 276.92 : x
  2. Step 2: Convert to fraction form
    434.12/599.29 = 276.92/x
  3. Step 3: Cross multiply
    434.12x = 599.29 × 276.92
  4. Step 4: Simplify right side
    434.12x = 165,955.39
  5. Step 5: Solve for x
    x = 165,955.39/434.12
  6. Step 6: Final answer
    x = 382.28

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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.