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Finding the Fourth Proportional to 547.86, 756.25 and 338.07

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Solution

The fourth proportional to 547.86, 756.25 and 338.07 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.86 : 756.25 = 338.07 : x
  2. Step 2: Convert to fraction form
    547.86/756.25 = 338.07/x
  3. Step 3: Cross multiply
    547.86x = 756.25 × 338.07
  4. Step 4: Simplify right side
    547.86x = 255,665.44
  5. Step 5: Solve for x
    x = 255,665.44/547.86
  6. Step 6: Final answer
    x = 466.66

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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.