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Finding the Fourth Proportional to 459.85, 634.68 and 263.49

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Solution

The fourth proportional to 459.85, 634.68 and 263.49 is: 363.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.85 : 634.68 = 263.49 : x
  2. Step 2: Convert to fraction form
    459.85/634.68 = 263.49/x
  3. Step 3: Cross multiply
    459.85x = 634.68 × 263.49
  4. Step 4: Simplify right side
    459.85x = 167,231.83
  5. Step 5: Solve for x
    x = 167,231.83/459.85
  6. Step 6: Final answer
    x = 363.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.