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Finding the Fourth Proportional to 276.71, 415.02 and 130.37

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Solution

The fourth proportional to 276.71, 415.02 and 130.37 is: 195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.71 : 415.02 = 130.37 : x
  2. Step 2: Convert to fraction form
    276.71/415.02 = 130.37/x
  3. Step 3: Cross multiply
    276.71x = 415.02 × 130.37
  4. Step 4: Simplify right side
    276.71x = 54,106.16
  5. Step 5: Solve for x
    x = 54,106.16/276.71
  6. Step 6: Final answer
    x = 195.53

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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.