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Finding the Fourth Proportional to 426, 637.98 and 263.19

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Solution

The fourth proportional to 426, 637.98 and 263.19 is: 394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 637.98 = 263.19 : x
  2. Step 2: Convert to fraction form
    426/637.98 = 263.19/x
  3. Step 3: Cross multiply
    426x = 637.98 × 263.19
  4. Step 4: Simplify right side
    426x = 167,909.96
  5. Step 5: Solve for x
    x = 167,909.96/426
  6. Step 6: Final answer
    x = 394.15

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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.