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Finding the Fourth Proportional to 385.82, 577.91 and 180.55

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Solution

The fourth proportional to 385.82, 577.91 and 180.55 is: 270.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.82 : 577.91 = 180.55 : x
  2. Step 2: Convert to fraction form
    385.82/577.91 = 180.55/x
  3. Step 3: Cross multiply
    385.82x = 577.91 × 180.55
  4. Step 4: Simplify right side
    385.82x = 104,341.65
  5. Step 5: Solve for x
    x = 104,341.65/385.82
  6. Step 6: Final answer
    x = 270.44

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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.