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Finding the Fourth Proportional to 384.70, 576.01 and 268.90

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Solution

The fourth proportional to 384.70, 576.01 and 268.90 is: 402.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.70 : 576.01 = 268.90 : x
  2. Step 2: Convert to fraction form
    384.70/576.01 = 268.90/x
  3. Step 3: Cross multiply
    384.70x = 576.01 × 268.90
  4. Step 4: Simplify right side
    384.70x = 154,889.09
  5. Step 5: Solve for x
    x = 154,889.09/384.70
  6. Step 6: Final answer
    x = 402.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.