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Finding the Fourth Proportional to 449.16, 620.12 and 356.28

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Solution

The fourth proportional to 449.16, 620.12 and 356.28 is: 491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.16 : 620.12 = 356.28 : x
  2. Step 2: Convert to fraction form
    449.16/620.12 = 356.28/x
  3. Step 3: Cross multiply
    449.16x = 620.12 × 356.28
  4. Step 4: Simplify right side
    449.16x = 220,936.35
  5. Step 5: Solve for x
    x = 220,936.35/449.16
  6. Step 6: Final answer
    x = 491.89

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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.