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Finding the Fourth Proportional to 264.80, 397.54 and 193.12

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Solution

The fourth proportional to 264.80, 397.54 and 193.12 is: 289.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.80 : 397.54 = 193.12 : x
  2. Step 2: Convert to fraction form
    264.80/397.54 = 193.12/x
  3. Step 3: Cross multiply
    264.80x = 397.54 × 193.12
  4. Step 4: Simplify right side
    264.80x = 76,772.92
  5. Step 5: Solve for x
    x = 76,772.92/264.80
  6. Step 6: Final answer
    x = 289.93

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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.