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Finding the Fourth Proportional to 499.15, 749.07 and 174.52

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Solution

The fourth proportional to 499.15, 749.07 and 174.52 is: 261.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.15 : 749.07 = 174.52 : x
  2. Step 2: Convert to fraction form
    499.15/749.07 = 174.52/x
  3. Step 3: Cross multiply
    499.15x = 749.07 × 174.52
  4. Step 4: Simplify right side
    499.15x = 130,728.63
  5. Step 5: Solve for x
    x = 130,728.63/499.15
  6. Step 6: Final answer
    x = 261.90

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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.