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Finding the Fourth Proportional to 385.14, 576.90 and 179.40

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Solution

The fourth proportional to 385.14, 576.90 and 179.40 is: 268.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.14 : 576.90 = 179.40 : x
  2. Step 2: Convert to fraction form
    385.14/576.90 = 179.40/x
  3. Step 3: Cross multiply
    385.14x = 576.90 × 179.40
  4. Step 4: Simplify right side
    385.14x = 103,495.86
  5. Step 5: Solve for x
    x = 103,495.86/385.14
  6. Step 6: Final answer
    x = 268.72

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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.