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Finding the Fourth Proportional to 228.16, 342.23 and 81.91

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Solution

The fourth proportional to 228.16, 342.23 and 81.91 is: 122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.16 : 342.23 = 81.91 : x
  2. Step 2: Convert to fraction form
    228.16/342.23 = 81.91/x
  3. Step 3: Cross multiply
    228.16x = 342.23 × 81.91
  4. Step 4: Simplify right side
    228.16x = 28,032.18
  5. Step 5: Solve for x
    x = 28,032.18/228.16
  6. Step 6: Final answer
    x = 122.86

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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.