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Finding the Fourth Proportional to 486.99, 730.56 and 178.80

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Solution

The fourth proportional to 486.99, 730.56 and 178.80 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.99 : 730.56 = 178.80 : x
  2. Step 2: Convert to fraction form
    486.99/730.56 = 178.80/x
  3. Step 3: Cross multiply
    486.99x = 730.56 × 178.80
  4. Step 4: Simplify right side
    486.99x = 130,624.13
  5. Step 5: Solve for x
    x = 130,624.13/486.99
  6. Step 6: Final answer
    x = 268.23

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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.