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Finding the Fourth Proportional to 384.23, 576.45 and 247.95

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Solution

The fourth proportional to 384.23, 576.45 and 247.95 is: 371.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.23 : 576.45 = 247.95 : x
  2. Step 2: Convert to fraction form
    384.23/576.45 = 247.95/x
  3. Step 3: Cross multiply
    384.23x = 576.45 × 247.95
  4. Step 4: Simplify right side
    384.23x = 142,930.78
  5. Step 5: Solve for x
    x = 142,930.78/384.23
  6. Step 6: Final answer
    x = 371.99

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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.