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Finding the Fourth Proportional to 272.87, 410.81 and 240.56

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Solution

The fourth proportional to 272.87, 410.81 and 240.56 is: 362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.87 : 410.81 = 240.56 : x
  2. Step 2: Convert to fraction form
    272.87/410.81 = 240.56/x
  3. Step 3: Cross multiply
    272.87x = 410.81 × 240.56
  4. Step 4: Simplify right side
    272.87x = 98,823.64
  5. Step 5: Solve for x
    x = 98,823.64/272.87
  6. Step 6: Final answer
    x = 362.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.