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Finding the Fourth Proportional to 421.12, 628.84 and 344.24

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Solution

The fourth proportional to 421.12, 628.84 and 344.24 is: 514.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 628.84 = 344.24 : x
  2. Step 2: Convert to fraction form
    421.12/628.84 = 344.24/x
  3. Step 3: Cross multiply
    421.12x = 628.84 × 344.24
  4. Step 4: Simplify right side
    421.12x = 216,467.88
  5. Step 5: Solve for x
    x = 216,467.88/421.12
  6. Step 6: Final answer
    x = 514.03

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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.