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Finding the Fourth Proportional to 426.19, 636.36 and 381.98

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Solution

The fourth proportional to 426.19, 636.36 and 381.98 is: 570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.19 : 636.36 = 381.98 : x
  2. Step 2: Convert to fraction form
    426.19/636.36 = 381.98/x
  3. Step 3: Cross multiply
    426.19x = 636.36 × 381.98
  4. Step 4: Simplify right side
    426.19x = 243,071.70
  5. Step 5: Solve for x
    x = 243,071.70/426.19
  6. Step 6: Final answer
    x = 570.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.