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Finding the Fourth Proportional to 488.28, 730.56 and 272.01

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Solution

The fourth proportional to 488.28, 730.56 and 272.01 is: 406.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.28 : 730.56 = 272.01 : x
  2. Step 2: Convert to fraction form
    488.28/730.56 = 272.01/x
  3. Step 3: Cross multiply
    488.28x = 730.56 × 272.01
  4. Step 4: Simplify right side
    488.28x = 198,719.63
  5. Step 5: Solve for x
    x = 198,719.63/488.28
  6. Step 6: Final answer
    x = 406.98

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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.