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Finding the Fourth Proportional to 315.10, 433.92 and 227.62

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Solution

The fourth proportional to 315.10, 433.92 and 227.62 is: 313.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.10 : 433.92 = 227.62 : x
  2. Step 2: Convert to fraction form
    315.10/433.92 = 227.62/x
  3. Step 3: Cross multiply
    315.10x = 433.92 × 227.62
  4. Step 4: Simplify right side
    315.10x = 98,768.87
  5. Step 5: Solve for x
    x = 98,768.87/315.10
  6. Step 6: Final answer
    x = 313.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.