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Finding the Fourth Proportional to 487.14, 730.56 and 198.54

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Solution

The fourth proportional to 487.14, 730.56 and 198.54 is: 297.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.14 : 730.56 = 198.54 : x
  2. Step 2: Convert to fraction form
    487.14/730.56 = 198.54/x
  3. Step 3: Cross multiply
    487.14x = 730.56 × 198.54
  4. Step 4: Simplify right side
    487.14x = 145,045.38
  5. Step 5: Solve for x
    x = 145,045.38/487.14
  6. Step 6: Final answer
    x = 297.75

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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.