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Finding the Fourth Proportional to 315.91, 435.81 and 228.43

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Solution

The fourth proportional to 315.91, 435.81 and 228.43 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.91 : 435.81 = 228.43 : x
  2. Step 2: Convert to fraction form
    315.91/435.81 = 228.43/x
  3. Step 3: Cross multiply
    315.91x = 435.81 × 228.43
  4. Step 4: Simplify right side
    315.91x = 99,552.08
  5. Step 5: Solve for x
    x = 99,552.08/315.91
  6. Step 6: Final answer
    x = 315.13

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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.