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Finding the Fourth Proportional to 487.99, 732.27 and 180.05

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Solution

The fourth proportional to 487.99, 732.27 and 180.05 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.99 : 732.27 = 180.05 : x
  2. Step 2: Convert to fraction form
    487.99/732.27 = 180.05/x
  3. Step 3: Cross multiply
    487.99x = 732.27 × 180.05
  4. Step 4: Simplify right side
    487.99x = 131,847.91
  5. Step 5: Solve for x
    x = 131,847.91/487.99
  6. Step 6: Final answer
    x = 270.19

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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.