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Finding the Fourth Proportional to 320, 440.52 and 287.24

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Solution

The fourth proportional to 320, 440.52 and 287.24 is: 395.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 440.52 = 287.24 : x
  2. Step 2: Convert to fraction form
    320/440.52 = 287.24/x
  3. Step 3: Cross multiply
    320x = 440.52 × 287.24
  4. Step 4: Simplify right side
    320x = 126,534.96
  5. Step 5: Solve for x
    x = 126,534.96/320
  6. Step 6: Final answer
    x = 395.42

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1.5x scale

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.