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Finding the Fourth Proportional to 313.27, 469.90 and 96.85

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Solution

The fourth proportional to 313.27, 469.90 and 96.85 is: 145.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.27 : 469.90 = 96.85 : x
  2. Step 2: Convert to fraction form
    313.27/469.90 = 96.85/x
  3. Step 3: Cross multiply
    313.27x = 469.90 × 96.85
  4. Step 4: Simplify right side
    313.27x = 45,507.88
  5. Step 5: Solve for x
    x = 45,507.88/313.27
  6. Step 6: Final answer
    x = 145.27

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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.