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Finding the Fourth Proportional to 276.42, 412.37 and 256.78

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Solution

The fourth proportional to 276.42, 412.37 and 256.78 is: 383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 412.37 = 256.78 : x
  2. Step 2: Convert to fraction form
    276.42/412.37 = 256.78/x
  3. Step 3: Cross multiply
    276.42x = 412.37 × 256.78
  4. Step 4: Simplify right side
    276.42x = 105,888.37
  5. Step 5: Solve for x
    x = 105,888.37/276.42
  6. Step 6: Final answer
    x = 383.07

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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.