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Finding the Fourth Proportional to 314.42, 471.76 and 168.13

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Solution

The fourth proportional to 314.42, 471.76 and 168.13 is: 252.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.42 : 471.76 = 168.13 : x
  2. Step 2: Convert to fraction form
    314.42/471.76 = 168.13/x
  3. Step 3: Cross multiply
    314.42x = 471.76 × 168.13
  4. Step 4: Simplify right side
    314.42x = 79,317.27
  5. Step 5: Solve for x
    x = 79,317.27/314.42
  6. Step 6: Final answer
    x = 252.27

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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.