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Finding the Fourth Proportional to 160.11, 239.91 and 95.10

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Solution

The fourth proportional to 160.11, 239.91 and 95.10 is: 142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.11 : 239.91 = 95.10 : x
  2. Step 2: Convert to fraction form
    160.11/239.91 = 95.10/x
  3. Step 3: Cross multiply
    160.11x = 239.91 × 95.10
  4. Step 4: Simplify right side
    160.11x = 22,815.44
  5. Step 5: Solve for x
    x = 22,815.44/160.11
  6. Step 6: Final answer
    x = 142.50

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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.