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Finding the Fourth Proportional to 421.51, 629.32 and 363.67

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Solution

The fourth proportional to 421.51, 629.32 and 363.67 is: 542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.51 : 629.32 = 363.67 : x
  2. Step 2: Convert to fraction form
    421.51/629.32 = 363.67/x
  3. Step 3: Cross multiply
    421.51x = 629.32 × 363.67
  4. Step 4: Simplify right side
    421.51x = 228,863.00
  5. Step 5: Solve for x
    x = 228,863.00/421.51
  6. Step 6: Final answer
    x = 542.96

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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.