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Finding the Fourth Proportional to 465.41, 641.76 and 318.13

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Solution

The fourth proportional to 465.41, 641.76 and 318.13 is: 438.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.41 : 641.76 = 318.13 : x
  2. Step 2: Convert to fraction form
    465.41/641.76 = 318.13/x
  3. Step 3: Cross multiply
    465.41x = 641.76 × 318.13
  4. Step 4: Simplify right side
    465.41x = 204,160.31
  5. Step 5: Solve for x
    x = 204,160.31/465.41
  6. Step 6: Final answer
    x = 438.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.