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Finding the Fourth Proportional to 315.40, 435.09 and 227.92

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Solution

The fourth proportional to 315.40, 435.09 and 227.92 is: 314.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.40 : 435.09 = 227.92 : x
  2. Step 2: Convert to fraction form
    315.40/435.09 = 227.92/x
  3. Step 3: Cross multiply
    315.40x = 435.09 × 227.92
  4. Step 4: Simplify right side
    315.40x = 99,165.71
  5. Step 5: Solve for x
    x = 99,165.71/315.40
  6. Step 6: Final answer
    x = 314.41

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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.