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Finding the Fourth Proportional to 499.75, 749.91 and 243.25

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Solution

The fourth proportional to 499.75, 749.91 and 243.25 is: 365.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.75 : 749.91 = 243.25 : x
  2. Step 2: Convert to fraction form
    499.75/749.91 = 243.25/x
  3. Step 3: Cross multiply
    499.75x = 749.91 × 243.25
  4. Step 4: Simplify right side
    499.75x = 182,415.61
  5. Step 5: Solve for x
    x = 182,415.61/499.75
  6. Step 6: Final answer
    x = 365.01

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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.