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Finding the Fourth Proportional to 152.82, 228.15 and 132.44

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Solution

The fourth proportional to 152.82, 228.15 and 132.44 is: 197.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 228.15 = 132.44 : x
  2. Step 2: Convert to fraction form
    152.82/228.15 = 132.44/x
  3. Step 3: Cross multiply
    152.82x = 228.15 × 132.44
  4. Step 4: Simplify right side
    152.82x = 30,215.05
  5. Step 5: Solve for x
    x = 30,215.05/152.82
  6. Step 6: Final answer
    x = 197.72

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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.