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Finding the Fourth Proportional to 423.62, 636.86 and 338.02

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Solution

The fourth proportional to 423.62, 636.86 and 338.02 is: 508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.62 : 636.86 = 338.02 : x
  2. Step 2: Convert to fraction form
    423.62/636.86 = 338.02/x
  3. Step 3: Cross multiply
    423.62x = 636.86 × 338.02
  4. Step 4: Simplify right side
    423.62x = 215,271.42
  5. Step 5: Solve for x
    x = 215,271.42/423.62
  6. Step 6: Final answer
    x = 508.17

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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.