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Finding the Fourth Proportional to 152.17, 229.05 and 106.83

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Solution

The fourth proportional to 152.17, 229.05 and 106.83 is: 160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.17 : 229.05 = 106.83 : x
  2. Step 2: Convert to fraction form
    152.17/229.05 = 106.83/x
  3. Step 3: Cross multiply
    152.17x = 229.05 × 106.83
  4. Step 4: Simplify right side
    152.17x = 24,469.41
  5. Step 5: Solve for x
    x = 24,469.41/152.17
  6. Step 6: Final answer
    x = 160.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.