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Finding the Fourth Proportional to 499.80, 749.86 and 256.80

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Solution

The fourth proportional to 499.80, 749.86 and 256.80 is: 385.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.80 : 749.86 = 256.80 : x
  2. Step 2: Convert to fraction form
    499.80/749.86 = 256.80/x
  3. Step 3: Cross multiply
    499.80x = 749.86 × 256.80
  4. Step 4: Simplify right side
    499.80x = 192,563.41
  5. Step 5: Solve for x
    x = 192,563.41/499.80
  6. Step 6: Final answer
    x = 385.28

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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.