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Finding the Fourth Proportional to 313.85, 470.84 and 97.43

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Solution

The fourth proportional to 313.85, 470.84 and 97.43 is: 146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.85 : 470.84 = 97.43 : x
  2. Step 2: Convert to fraction form
    313.85/470.84 = 97.43/x
  3. Step 3: Cross multiply
    313.85x = 470.84 × 97.43
  4. Step 4: Simplify right side
    313.85x = 45,871.10
  5. Step 5: Solve for x
    x = 45,871.10/313.85
  6. Step 6: Final answer
    x = 146.15

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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.