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Finding the Fourth Proportional to 449.51, 620.40 and 253.02

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Solution

The fourth proportional to 449.51, 620.40 and 253.02 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.51 : 620.40 = 253.02 : x
  2. Step 2: Convert to fraction form
    449.51/620.40 = 253.02/x
  3. Step 3: Cross multiply
    449.51x = 620.40 × 253.02
  4. Step 4: Simplify right side
    449.51x = 156,973.61
  5. Step 5: Solve for x
    x = 156,973.61/449.51
  6. Step 6: Final answer
    x = 349.21

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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.