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Finding the Fourth Proportional to 276.57, 412.72 and 245.89

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Solution

The fourth proportional to 276.57, 412.72 and 245.89 is: 366.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.57 : 412.72 = 245.89 : x
  2. Step 2: Convert to fraction form
    276.57/412.72 = 245.89/x
  3. Step 3: Cross multiply
    276.57x = 412.72 × 245.89
  4. Step 4: Simplify right side
    276.57x = 101,483.72
  5. Step 5: Solve for x
    x = 101,483.72/276.57
  6. Step 6: Final answer
    x = 366.94

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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.