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Finding the Fourth Proportional to 465.09, 642.05 and 318.49

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Solution

The fourth proportional to 465.09, 642.05 and 318.49 is: 439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.09 : 642.05 = 318.49 : x
  2. Step 2: Convert to fraction form
    465.09/642.05 = 318.49/x
  3. Step 3: Cross multiply
    465.09x = 642.05 × 318.49
  4. Step 4: Simplify right side
    465.09x = 204,484.50
  5. Step 5: Solve for x
    x = 204,484.50/465.09
  6. Step 6: Final answer
    x = 439.67

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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.