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Finding the Fourth Proportional to 421.66, 629.43 and 364.25

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Solution

The fourth proportional to 421.66, 629.43 and 364.25 is: 543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.66 : 629.43 = 364.25 : x
  2. Step 2: Convert to fraction form
    421.66/629.43 = 364.25/x
  3. Step 3: Cross multiply
    421.66x = 629.43 × 364.25
  4. Step 4: Simplify right side
    421.66x = 229,269.11
  5. Step 5: Solve for x
    x = 229,269.11/421.66
  6. Step 6: Final answer
    x = 543.74

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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.