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Finding the Fourth Proportional to 314.24, 471.76 and 218.56

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Solution

The fourth proportional to 314.24, 471.76 and 218.56 is: 328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.24 : 471.76 = 218.56 : x
  2. Step 2: Convert to fraction form
    314.24/471.76 = 218.56/x
  3. Step 3: Cross multiply
    314.24x = 471.76 × 218.56
  4. Step 4: Simplify right side
    314.24x = 103,107.87
  5. Step 5: Solve for x
    x = 103,107.87/314.24
  6. Step 6: Final answer
    x = 328.12

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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.