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Finding the Fourth Proportional to 381.95, 572.43 and 259.91

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Solution

The fourth proportional to 381.95, 572.43 and 259.91 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.95 : 572.43 = 259.91 : x
  2. Step 2: Convert to fraction form
    381.95/572.43 = 259.91/x
  3. Step 3: Cross multiply
    381.95x = 572.43 × 259.91
  4. Step 4: Simplify right side
    381.95x = 148,777.42
  5. Step 5: Solve for x
    x = 148,777.42/381.95
  6. Step 6: Final answer
    x = 389.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.