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Finding the Fourth Proportional to 265.92, 398.94 and 103.64

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Solution

The fourth proportional to 265.92, 398.94 and 103.64 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 398.94 = 103.64 : x
  2. Step 2: Convert to fraction form
    265.92/398.94 = 103.64/x
  3. Step 3: Cross multiply
    265.92x = 398.94 × 103.64
  4. Step 4: Simplify right side
    265.92x = 41,346.14
  5. Step 5: Solve for x
    x = 41,346.14/265.92
  6. Step 6: Final answer
    x = 155.48

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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.