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Finding the Fourth Proportional to 160.15, 239.81 and 111.55

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Solution

The fourth proportional to 160.15, 239.81 and 111.55 is: 167.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.15 : 239.81 = 111.55 : x
  2. Step 2: Convert to fraction form
    160.15/239.81 = 111.55/x
  3. Step 3: Cross multiply
    160.15x = 239.81 × 111.55
  4. Step 4: Simplify right side
    160.15x = 26,750.81
  5. Step 5: Solve for x
    x = 26,750.81/160.15
  6. Step 6: Final answer
    x = 167.04

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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.