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Finding the Fourth Proportional to 499.37, 749.32 and 207.07

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Solution

The fourth proportional to 499.37, 749.32 and 207.07 is: 310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.37 : 749.32 = 207.07 : x
  2. Step 2: Convert to fraction form
    499.37/749.32 = 207.07/x
  3. Step 3: Cross multiply
    499.37x = 749.32 × 207.07
  4. Step 4: Simplify right side
    499.37x = 155,159.30
  5. Step 5: Solve for x
    x = 155,159.30/499.37
  6. Step 6: Final answer
    x = 310.71

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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.