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Finding the Fourth Proportional to 421.25, 631.81 and 299.14

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Solution

The fourth proportional to 421.25, 631.81 and 299.14 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.25 : 631.81 = 299.14 : x
  2. Step 2: Convert to fraction form
    421.25/631.81 = 299.14/x
  3. Step 3: Cross multiply
    421.25x = 631.81 × 299.14
  4. Step 4: Simplify right side
    421.25x = 189,000.48
  5. Step 5: Solve for x
    x = 189,000.48/421.25
  6. Step 6: Final answer
    x = 448.67

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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.