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Finding the Fourth Proportional to 440.11, 659.71 and 254.78

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Solution

The fourth proportional to 440.11, 659.71 and 254.78 is: 381.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.11 : 659.71 = 254.78 : x
  2. Step 2: Convert to fraction form
    440.11/659.71 = 254.78/x
  3. Step 3: Cross multiply
    440.11x = 659.71 × 254.78
  4. Step 4: Simplify right side
    440.11x = 168,080.91
  5. Step 5: Solve for x
    x = 168,080.91/440.11
  6. Step 6: Final answer
    x = 381.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.