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Finding the Fourth Proportional to 439.80, 606.65 and 262.64

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Solution

The fourth proportional to 439.80, 606.65 and 262.64 is: 362.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.80 : 606.65 = 262.64 : x
  2. Step 2: Convert to fraction form
    439.80/606.65 = 262.64/x
  3. Step 3: Cross multiply
    439.80x = 606.65 × 262.64
  4. Step 4: Simplify right side
    439.80x = 159,329.24
  5. Step 5: Solve for x
    x = 159,329.24/439.80
  6. Step 6: Final answer
    x = 362.28

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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.