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Finding the Fourth Proportional to 160.80, 239.60 and 154.72

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Solution

The fourth proportional to 160.80, 239.60 and 154.72 is: 230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.80 : 239.60 = 154.72 : x
  2. Step 2: Convert to fraction form
    160.80/239.60 = 154.72/x
  3. Step 3: Cross multiply
    160.80x = 239.60 × 154.72
  4. Step 4: Simplify right side
    160.80x = 37,070.91
  5. Step 5: Solve for x
    x = 37,070.91/160.80
  6. Step 6: Final answer
    x = 230.54

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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.