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Finding the Fourth Proportional to 228.97, 315.84 and 155.31

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Solution

The fourth proportional to 228.97, 315.84 and 155.31 is: 214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.97 : 315.84 = 155.31 : x
  2. Step 2: Convert to fraction form
    228.97/315.84 = 155.31/x
  3. Step 3: Cross multiply
    228.97x = 315.84 × 155.31
  4. Step 4: Simplify right side
    228.97x = 49,053.11
  5. Step 5: Solve for x
    x = 49,053.11/228.97
  6. Step 6: Final answer
    x = 214.23

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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.