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Finding the Fourth Proportional to 465.65, 642.79 and 308.35

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Solution

The fourth proportional to 465.65, 642.79 and 308.35 is: 425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.65 : 642.79 = 308.35 : x
  2. Step 2: Convert to fraction form
    465.65/642.79 = 308.35/x
  3. Step 3: Cross multiply
    465.65x = 642.79 × 308.35
  4. Step 4: Simplify right side
    465.65x = 198,204.30
  5. Step 5: Solve for x
    x = 198,204.30/465.65
  6. Step 6: Final answer
    x = 425.65

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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.