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Finding the Fourth Proportional to 385.16, 576.78 and 304.44

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Solution

The fourth proportional to 385.16, 576.78 and 304.44 is: 455.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.16 : 576.78 = 304.44 : x
  2. Step 2: Convert to fraction form
    385.16/576.78 = 304.44/x
  3. Step 3: Cross multiply
    385.16x = 576.78 × 304.44
  4. Step 4: Simplify right side
    385.16x = 175,594.90
  5. Step 5: Solve for x
    x = 175,594.90/385.16
  6. Step 6: Final answer
    x = 455.90

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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.