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Finding the Fourth Proportional to 315.14, 471.70 and 168.53

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Solution

The fourth proportional to 315.14, 471.70 and 168.53 is: 252.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.14 : 471.70 = 168.53 : x
  2. Step 2: Convert to fraction form
    315.14/471.70 = 168.53/x
  3. Step 3: Cross multiply
    315.14x = 471.70 × 168.53
  4. Step 4: Simplify right side
    315.14x = 79,493.24
  5. Step 5: Solve for x
    x = 79,493.24/315.14
  6. Step 6: Final answer
    x = 252.25

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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.