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Finding the Fourth Proportional to 152.88, 229.92 and 122.64

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Solution

The fourth proportional to 152.88, 229.92 and 122.64 is: 184.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 229.92 = 122.64 : x
  2. Step 2: Convert to fraction form
    152.88/229.92 = 122.64/x
  3. Step 3: Cross multiply
    152.88x = 229.92 × 122.64
  4. Step 4: Simplify right side
    152.88x = 28,197.39
  5. Step 5: Solve for x
    x = 28,197.39/152.88
  6. Step 6: Final answer
    x = 184.44

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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.