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Finding the Fourth Proportional to 424.18, 635.85 and 180.55

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Solution

The fourth proportional to 424.18, 635.85 and 180.55 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.18 : 635.85 = 180.55 : x
  2. Step 2: Convert to fraction form
    424.18/635.85 = 180.55/x
  3. Step 3: Cross multiply
    424.18x = 635.85 × 180.55
  4. Step 4: Simplify right side
    424.18x = 114,802.72
  5. Step 5: Solve for x
    x = 114,802.72/424.18
  6. Step 6: Final answer
    x = 270.65

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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.