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Finding the Fourth Proportional to 313.76, 470.80 and 216.40

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Solution

The fourth proportional to 313.76, 470.80 and 216.40 is: 324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.76 : 470.80 = 216.40 : x
  2. Step 2: Convert to fraction form
    313.76/470.80 = 216.40/x
  3. Step 3: Cross multiply
    313.76x = 470.80 × 216.40
  4. Step 4: Simplify right side
    313.76x = 101,881.12
  5. Step 5: Solve for x
    x = 101,881.12/313.76
  6. Step 6: Final answer
    x = 324.71

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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.