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Finding the Fourth Proportional to 228.98, 316.49 and 192.66

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Solution

The fourth proportional to 228.98, 316.49 and 192.66 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.98 : 316.49 = 192.66 : x
  2. Step 2: Convert to fraction form
    228.98/316.49 = 192.66/x
  3. Step 3: Cross multiply
    228.98x = 316.49 × 192.66
  4. Step 4: Simplify right side
    228.98x = 60,974.00
  5. Step 5: Solve for x
    x = 60,974.00/228.98
  6. Step 6: Final answer
    x = 266.29

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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.