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Finding the Fourth Proportional to 421, 631.14 and 349

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Solution

The fourth proportional to 421, 631.14 and 349 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    421 : 631.14 = 349 : x
  2. Step 2: Convert to fraction form
    421/631.14 = 349/x
  3. Step 3: Cross multiply
    421x = 631.14 × 349
  4. Step 4: Simplify right side
    421x = 220,267.86
  5. Step 5: Solve for x
    x = 220,267.86/421
  6. Step 6: Final answer
    x = 523.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.