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Finding the Fourth Proportional to 440.81, 608.40 and 254.42

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Solution

The fourth proportional to 440.81, 608.40 and 254.42 is: 351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.81 : 608.40 = 254.42 : x
  2. Step 2: Convert to fraction form
    440.81/608.40 = 254.42/x
  3. Step 3: Cross multiply
    440.81x = 608.40 × 254.42
  4. Step 4: Simplify right side
    440.81x = 154,784.81
  5. Step 5: Solve for x
    x = 154,784.81/440.81
  6. Step 6: Final answer
    x = 351.14

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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.