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Finding the Fourth Proportional to 423.94, 636.25 and 180.64

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Solution

The fourth proportional to 423.94, 636.25 and 180.64 is: 271.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.94 : 636.25 = 180.64 : x
  2. Step 2: Convert to fraction form
    423.94/636.25 = 180.64/x
  3. Step 3: Cross multiply
    423.94x = 636.25 × 180.64
  4. Step 4: Simplify right side
    423.94x = 114,929.02
  5. Step 5: Solve for x
    x = 114,929.02/423.94
  6. Step 6: Final answer
    x = 271.10

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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.