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Finding the Fourth Proportional to 423.26, 634.50 and 358.67

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Solution

The fourth proportional to 423.26, 634.50 and 358.67 is: 537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.26 : 634.50 = 358.67 : x
  2. Step 2: Convert to fraction form
    423.26/634.50 = 358.67/x
  3. Step 3: Cross multiply
    423.26x = 634.50 × 358.67
  4. Step 4: Simplify right side
    423.26x = 227,576.12
  5. Step 5: Solve for x
    x = 227,576.12/423.26
  6. Step 6: Final answer
    x = 537.67

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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.