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Finding the Fourth Proportional to 265.34, 397.84 and 102.85

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Solution

The fourth proportional to 265.34, 397.84 and 102.85 is: 154.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 397.84 = 102.85 : x
  2. Step 2: Convert to fraction form
    265.34/397.84 = 102.85/x
  3. Step 3: Cross multiply
    265.34x = 397.84 × 102.85
  4. Step 4: Simplify right side
    265.34x = 40,917.84
  5. Step 5: Solve for x
    x = 40,917.84/265.34
  6. Step 6: Final answer
    x = 154.21

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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.