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Finding the Fourth Proportional to 465.45, 642.75 and 299.95

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Solution

The fourth proportional to 465.45, 642.75 and 299.95 is: 414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.45 : 642.75 = 299.95 : x
  2. Step 2: Convert to fraction form
    465.45/642.75 = 299.95/x
  3. Step 3: Cross multiply
    465.45x = 642.75 × 299.95
  4. Step 4: Simplify right side
    465.45x = 192,788.90
  5. Step 5: Solve for x
    x = 192,788.90/465.45
  6. Step 6: Final answer
    x = 414.20

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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.