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Finding the Fourth Proportional to 314.52, 471.26 and 223.05

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Solution

The fourth proportional to 314.52, 471.26 and 223.05 is: 334.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.52 : 471.26 = 223.05 : x
  2. Step 2: Convert to fraction form
    314.52/471.26 = 223.05/x
  3. Step 3: Cross multiply
    314.52x = 471.26 × 223.05
  4. Step 4: Simplify right side
    314.52x = 105,114.54
  5. Step 5: Solve for x
    x = 105,114.54/314.52
  6. Step 6: Final answer
    x = 334.21

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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.