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Finding the Fourth Proportional to 276.22, 414.16 and 242.05

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Solution

The fourth proportional to 276.22, 414.16 and 242.05 is: 362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.22 : 414.16 = 242.05 : x
  2. Step 2: Convert to fraction form
    276.22/414.16 = 242.05/x
  3. Step 3: Cross multiply
    276.22x = 414.16 × 242.05
  4. Step 4: Simplify right side
    276.22x = 100,248.51
  5. Step 5: Solve for x
    x = 100,248.51/276.22
  6. Step 6: Final answer
    x = 362.93

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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.