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Finding the Fourth Proportional to 450, 620.76 and 302.38

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Solution

The fourth proportional to 450, 620.76 and 302.38 is: 417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    450 : 620.76 = 302.38 : x
  2. Step 2: Convert to fraction form
    450/620.76 = 302.38/x
  3. Step 3: Cross multiply
    450x = 620.76 × 302.38
  4. Step 4: Simplify right side
    450x = 187,705.41
  5. Step 5: Solve for x
    x = 187,705.41/450
  6. Step 6: Final answer
    x = 417.12

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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.