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Finding the Fourth Proportional to 426.50, 639.87 and 183.02

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Solution

The fourth proportional to 426.50, 639.87 and 183.02 is: 274.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.50 : 639.87 = 183.02 : x
  2. Step 2: Convert to fraction form
    426.50/639.87 = 183.02/x
  3. Step 3: Cross multiply
    426.50x = 639.87 × 183.02
  4. Step 4: Simplify right side
    426.50x = 117,109.01
  5. Step 5: Solve for x
    x = 117,109.01/426.50
  6. Step 6: Final answer
    x = 274.58

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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.