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Finding the Fourth Proportional to 276.99, 415.50 and 114.72

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Solution

The fourth proportional to 276.99, 415.50 and 114.72 is: 172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.99 : 415.50 = 114.72 : x
  2. Step 2: Convert to fraction form
    276.99/415.50 = 114.72/x
  3. Step 3: Cross multiply
    276.99x = 415.50 × 114.72
  4. Step 4: Simplify right side
    276.99x = 47,665.14
  5. Step 5: Solve for x
    x = 47,665.14/276.99
  6. Step 6: Final answer
    x = 172.08

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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.