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Finding the Fourth Proportional to 421.49, 631.52 and 299.15

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Solution

The fourth proportional to 421.49, 631.52 and 299.15 is: 448.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.49 : 631.52 = 299.15 : x
  2. Step 2: Convert to fraction form
    421.49/631.52 = 299.15/x
  3. Step 3: Cross multiply
    421.49x = 631.52 × 299.15
  4. Step 4: Simplify right side
    421.49x = 188,914.55
  5. Step 5: Solve for x
    x = 188,914.55/421.49
  6. Step 6: Final answer
    x = 448.21

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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.