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Finding the Fourth Proportional to 160.47, 240.81 and 119.77

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Solution

The fourth proportional to 160.47, 240.81 and 119.77 is: 179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.47 : 240.81 = 119.77 : x
  2. Step 2: Convert to fraction form
    160.47/240.81 = 119.77/x
  3. Step 3: Cross multiply
    160.47x = 240.81 × 119.77
  4. Step 4: Simplify right side
    160.47x = 28,841.81
  5. Step 5: Solve for x
    x = 28,841.81/160.47
  6. Step 6: Final answer
    x = 179.73

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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.