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Finding the Fourth Proportional to 547.18, 755.35 and 381.33

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Solution

The fourth proportional to 547.18, 755.35 and 381.33 is: 526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.18 : 755.35 = 381.33 : x
  2. Step 2: Convert to fraction form
    547.18/755.35 = 381.33/x
  3. Step 3: Cross multiply
    547.18x = 755.35 × 381.33
  4. Step 4: Simplify right side
    547.18x = 288,036.66
  5. Step 5: Solve for x
    x = 288,036.66/547.18
  6. Step 6: Final answer
    x = 526.40

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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.