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Finding the Fourth Proportional to 449.49, 620.29 and 253.00

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Solution

The fourth proportional to 449.49, 620.29 and 253.00 is: 349.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.49 : 620.29 = 253.00 : x
  2. Step 2: Convert to fraction form
    449.49/620.29 = 253.00/x
  3. Step 3: Cross multiply
    449.49x = 620.29 × 253.00
  4. Step 4: Simplify right side
    449.49x = 156,934.46
  5. Step 5: Solve for x
    x = 156,934.46/449.49
  6. Step 6: Final answer
    x = 349.14

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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.