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Finding the Fourth Proportional to 276.42, 384.13 and 272.98

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Solution

The fourth proportional to 276.42, 384.13 and 272.98 is: 379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.42 : 384.13 = 272.98 : x
  2. Step 2: Convert to fraction form
    276.42/384.13 = 272.98/x
  3. Step 3: Cross multiply
    276.42x = 384.13 × 272.98
  4. Step 4: Simplify right side
    276.42x = 104,859.70
  5. Step 5: Solve for x
    x = 104,859.70/276.42
  6. Step 6: Final answer
    x = 379.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.