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Finding the Fourth Proportional to 449.86, 620.78 and 253.36

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Solution

The fourth proportional to 449.86, 620.78 and 253.36 is: 349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.86 : 620.78 = 253.36 : x
  2. Step 2: Convert to fraction form
    449.86/620.78 = 253.36/x
  3. Step 3: Cross multiply
    449.86x = 620.78 × 253.36
  4. Step 4: Simplify right side
    449.86x = 157,280.82
  5. Step 5: Solve for x
    x = 157,280.82/449.86
  6. Step 6: Final answer
    x = 349.62

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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.