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Finding the Fourth Proportional to 185.28, 276.60 and 153.12

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Solution

The fourth proportional to 185.28, 276.60 and 153.12 is: 228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.28 : 276.60 = 153.12 : x
  2. Step 2: Convert to fraction form
    185.28/276.60 = 153.12/x
  3. Step 3: Cross multiply
    185.28x = 276.60 × 153.12
  4. Step 4: Simplify right side
    185.28x = 42,352.99
  5. Step 5: Solve for x
    x = 42,352.99/185.28
  6. Step 6: Final answer
    x = 228.59

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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.