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Finding the Fourth Proportional to 320.32, 441.60 and 261.28

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Solution

The fourth proportional to 320.32, 441.60 and 261.28 is: 360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.32 : 441.60 = 261.28 : x
  2. Step 2: Convert to fraction form
    320.32/441.60 = 261.28/x
  3. Step 3: Cross multiply
    320.32x = 441.60 × 261.28
  4. Step 4: Simplify right side
    320.32x = 115,381.25
  5. Step 5: Solve for x
    x = 115,381.25/320.32
  6. Step 6: Final answer
    x = 360.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.