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Finding the Fourth Proportional to 487.00, 730.49 and 178.73

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Solution

The fourth proportional to 487.00, 730.49 and 178.73 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.00 : 730.49 = 178.73 : x
  2. Step 2: Convert to fraction form
    487.00/730.49 = 178.73/x
  3. Step 3: Cross multiply
    487.00x = 730.49 × 178.73
  4. Step 4: Simplify right side
    487.00x = 130,562.23
  5. Step 5: Solve for x
    x = 130,562.23/487.00
  6. Step 6: Final answer
    x = 268.10

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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.