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Finding the Fourth Proportional to 491.04, 677.44 and 281.18

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Solution

The fourth proportional to 491.04, 677.44 and 281.18 is: 387.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.04 : 677.44 = 281.18 : x
  2. Step 2: Convert to fraction form
    491.04/677.44 = 281.18/x
  3. Step 3: Cross multiply
    491.04x = 677.44 × 281.18
  4. Step 4: Simplify right side
    491.04x = 190,478.49
  5. Step 5: Solve for x
    x = 190,478.49/491.04
  6. Step 6: Final answer
    x = 387.91

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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.