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Finding the Fourth Proportional to 394.73, 544.92 and 253.01

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Solution

The fourth proportional to 394.73, 544.92 and 253.01 is: 349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.73 : 544.92 = 253.01 : x
  2. Step 2: Convert to fraction form
    394.73/544.92 = 253.01/x
  3. Step 3: Cross multiply
    394.73x = 544.92 × 253.01
  4. Step 4: Simplify right side
    394.73x = 137,870.21
  5. Step 5: Solve for x
    x = 137,870.21/394.73
  6. Step 6: Final answer
    x = 349.28

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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.