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Finding the Fourth Proportional to 381.80, 527.14 and 250.98

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Solution

The fourth proportional to 381.80, 527.14 and 250.98 is: 346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.80 : 527.14 = 250.98 : x
  2. Step 2: Convert to fraction form
    381.80/527.14 = 250.98/x
  3. Step 3: Cross multiply
    381.80x = 527.14 × 250.98
  4. Step 4: Simplify right side
    381.80x = 132,301.60
  5. Step 5: Solve for x
    x = 132,301.60/381.80
  6. Step 6: Final answer
    x = 346.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.