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Finding the Fourth Proportional to 160.70, 239.41 and 152.80

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Solution

The fourth proportional to 160.70, 239.41 and 152.80 is: 227.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.70 : 239.41 = 152.80 : x
  2. Step 2: Convert to fraction form
    160.70/239.41 = 152.80/x
  3. Step 3: Cross multiply
    160.70x = 239.41 × 152.80
  4. Step 4: Simplify right side
    160.70x = 36,581.85
  5. Step 5: Solve for x
    x = 36,581.85/160.70
  6. Step 6: Final answer
    x = 227.64

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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.