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Finding the Fourth Proportional to 281.25, 387.78 and 207.54

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Solution

The fourth proportional to 281.25, 387.78 and 207.54 is: 286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.25 : 387.78 = 207.54 : x
  2. Step 2: Convert to fraction form
    281.25/387.78 = 207.54/x
  3. Step 3: Cross multiply
    281.25x = 387.78 × 207.54
  4. Step 4: Simplify right side
    281.25x = 80,479.86
  5. Step 5: Solve for x
    x = 80,479.86/281.25
  6. Step 6: Final answer
    x = 286.15

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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.