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Finding the Fourth Proportional to 421.32, 629.04 and 363.48

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Solution

The fourth proportional to 421.32, 629.04 and 363.48 is: 542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.32 : 629.04 = 363.48 : x
  2. Step 2: Convert to fraction form
    421.32/629.04 = 363.48/x
  3. Step 3: Cross multiply
    421.32x = 629.04 × 363.48
  4. Step 4: Simplify right side
    421.32x = 228,643.46
  5. Step 5: Solve for x
    x = 228,643.46/421.32
  6. Step 6: Final answer
    x = 542.68

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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.