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Finding the Fourth Proportional to 449.31, 620.16 and 283.68

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Solution

The fourth proportional to 449.31, 620.16 and 283.68 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.31 : 620.16 = 283.68 : x
  2. Step 2: Convert to fraction form
    449.31/620.16 = 283.68/x
  3. Step 3: Cross multiply
    449.31x = 620.16 × 283.68
  4. Step 4: Simplify right side
    449.31x = 175,926.99
  5. Step 5: Solve for x
    x = 175,926.99/449.31
  6. Step 6: Final answer
    x = 391.55

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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.