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Finding the Fourth Proportional to 465.60, 642 and 318.33

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Solution

The fourth proportional to 465.60, 642 and 318.33 is: 438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.60 : 642 = 318.33 : x
  2. Step 2: Convert to fraction form
    465.60/642 = 318.33/x
  3. Step 3: Cross multiply
    465.60x = 642 × 318.33
  4. Step 4: Simplify right side
    465.60x = 204,367.86
  5. Step 5: Solve for x
    x = 204,367.86/465.60
  6. Step 6: Final answer
    x = 438.93

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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.