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Finding the Fourth Proportional to 433.71, 598.23 and 276.39

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Solution

The fourth proportional to 433.71, 598.23 and 276.39 is: 381.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.71 : 598.23 = 276.39 : x
  2. Step 2: Convert to fraction form
    433.71/598.23 = 276.39/x
  3. Step 3: Cross multiply
    433.71x = 598.23 × 276.39
  4. Step 4: Simplify right side
    433.71x = 165,344.79
  5. Step 5: Solve for x
    x = 165,344.79/433.71
  6. Step 6: Final answer
    x = 381.23

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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.