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Finding the Fourth Proportional to 468.99, 703.48 and 180.43

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Solution

The fourth proportional to 468.99, 703.48 and 180.43 is: 270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.99 : 703.48 = 180.43 : x
  2. Step 2: Convert to fraction form
    468.99/703.48 = 180.43/x
  3. Step 3: Cross multiply
    468.99x = 703.48 × 180.43
  4. Step 4: Simplify right side
    468.99x = 126,927.99
  5. Step 5: Solve for x
    x = 126,927.99/468.99
  6. Step 6: Final answer
    x = 270.64

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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.