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Finding the Fourth Proportional to 272.56, 406.84 and 240.52

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Solution

The fourth proportional to 272.56, 406.84 and 240.52 is: 359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.56 : 406.84 = 240.52 : x
  2. Step 2: Convert to fraction form
    272.56/406.84 = 240.52/x
  3. Step 3: Cross multiply
    272.56x = 406.84 × 240.52
  4. Step 4: Simplify right side
    272.56x = 97,853.16
  5. Step 5: Solve for x
    x = 97,853.16/272.56
  6. Step 6: Final answer
    x = 359.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.