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Finding the Fourth Proportional to 465.68, 642.84 and 310.16

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Solution

The fourth proportional to 465.68, 642.84 and 310.16 is: 428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.68 : 642.84 = 310.16 : x
  2. Step 2: Convert to fraction form
    465.68/642.84 = 310.16/x
  3. Step 3: Cross multiply
    465.68x = 642.84 × 310.16
  4. Step 4: Simplify right side
    465.68x = 199,383.25
  5. Step 5: Solve for x
    x = 199,383.25/465.68
  6. Step 6: Final answer
    x = 428.16

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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.