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Finding the Fourth Proportional to 313.45, 470.21 and 97.21

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Solution

The fourth proportional to 313.45, 470.21 and 97.21 is: 145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 470.21 = 97.21 : x
  2. Step 2: Convert to fraction form
    313.45/470.21 = 97.21/x
  3. Step 3: Cross multiply
    313.45x = 470.21 × 97.21
  4. Step 4: Simplify right side
    313.45x = 45,709.11
  5. Step 5: Solve for x
    x = 45,709.11/313.45
  6. Step 6: Final answer
    x = 145.83

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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.