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Finding the Fourth Proportional to 381.08, 525.98 and 277.56

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Solution

The fourth proportional to 381.08, 525.98 and 277.56 is: 383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.08 : 525.98 = 277.56 : x
  2. Step 2: Convert to fraction form
    381.08/525.98 = 277.56/x
  3. Step 3: Cross multiply
    381.08x = 525.98 × 277.56
  4. Step 4: Simplify right side
    381.08x = 145,991.01
  5. Step 5: Solve for x
    x = 145,991.01/381.08
  6. Step 6: Final answer
    x = 383.10

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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.