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Finding the Fourth Proportional to 465.85, 642.64 and 318.23

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Solution

The fourth proportional to 465.85, 642.64 and 318.23 is: 439.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 642.64 = 318.23 : x
  2. Step 2: Convert to fraction form
    465.85/642.64 = 318.23/x
  3. Step 3: Cross multiply
    465.85x = 642.64 × 318.23
  4. Step 4: Simplify right side
    465.85x = 204,506.03
  5. Step 5: Solve for x
    x = 204,506.03/465.85
  6. Step 6: Final answer
    x = 439.00

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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.