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Finding the Fourth Proportional to 314.82, 471.89 and 160.43

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Solution

The fourth proportional to 314.82, 471.89 and 160.43 is: 240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.82 : 471.89 = 160.43 : x
  2. Step 2: Convert to fraction form
    314.82/471.89 = 160.43/x
  3. Step 3: Cross multiply
    314.82x = 471.89 × 160.43
  4. Step 4: Simplify right side
    314.82x = 75,703.35
  5. Step 5: Solve for x
    x = 75,703.35/314.82
  6. Step 6: Final answer
    x = 240.47

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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.