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Finding the Fourth Proportional to 264.12, 397.68 and 192.48

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Solution

The fourth proportional to 264.12, 397.68 and 192.48 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.12 : 397.68 = 192.48 : x
  2. Step 2: Convert to fraction form
    264.12/397.68 = 192.48/x
  3. Step 3: Cross multiply
    264.12x = 397.68 × 192.48
  4. Step 4: Simplify right side
    264.12x = 76,545.45
  5. Step 5: Solve for x
    x = 76,545.45/264.12
  6. Step 6: Final answer
    x = 289.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.