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Finding the Fourth Proportional to 381.34, 569.39 and 264.88

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Solution

The fourth proportional to 381.34, 569.39 and 264.88 is: 395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 569.39 = 264.88 : x
  2. Step 2: Convert to fraction form
    381.34/569.39 = 264.88/x
  3. Step 3: Cross multiply
    381.34x = 569.39 × 264.88
  4. Step 4: Simplify right side
    381.34x = 150,820.02
  5. Step 5: Solve for x
    x = 150,820.02/381.34
  6. Step 6: Final answer
    x = 395.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.