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Finding the Fourth Proportional to 265.92, 397.36 and 259.84

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Solution

The fourth proportional to 265.92, 397.36 and 259.84 is: 388.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 397.36 = 259.84 : x
  2. Step 2: Convert to fraction form
    265.92/397.36 = 259.84/x
  3. Step 3: Cross multiply
    265.92x = 397.36 × 259.84
  4. Step 4: Simplify right side
    265.92x = 103,250.02
  5. Step 5: Solve for x
    x = 103,250.02/265.92
  6. Step 6: Final answer
    x = 388.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.