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Finding the Fourth Proportional to 276.56, 412.58 and 270.16

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Solution

The fourth proportional to 276.56, 412.58 and 270.16 is: 403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 412.58 = 270.16 : x
  2. Step 2: Convert to fraction form
    276.56/412.58 = 270.16/x
  3. Step 3: Cross multiply
    276.56x = 412.58 × 270.16
  4. Step 4: Simplify right side
    276.56x = 111,462.61
  5. Step 5: Solve for x
    x = 111,462.61/276.56
  6. Step 6: Final answer
    x = 403.03

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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.