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Finding the Fourth Proportional to 465.42, 642.43 and 318.48

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Solution

The fourth proportional to 465.42, 642.43 and 318.48 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 642.43 = 318.48 : x
  2. Step 2: Convert to fraction form
    465.42/642.43 = 318.48/x
  3. Step 3: Cross multiply
    465.42x = 642.43 × 318.48
  4. Step 4: Simplify right side
    465.42x = 204,602.71
  5. Step 5: Solve for x
    x = 204,602.71/465.42
  6. Step 6: Final answer
    x = 439.61

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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.