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Finding the Fourth Proportional to 160.60, 240.92 and 45.05

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Solution

The fourth proportional to 160.60, 240.92 and 45.05 is: 67.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.60 : 240.92 = 45.05 : x
  2. Step 2: Convert to fraction form
    160.60/240.92 = 45.05/x
  3. Step 3: Cross multiply
    160.60x = 240.92 × 45.05
  4. Step 4: Simplify right side
    160.60x = 10,852.02
  5. Step 5: Solve for x
    x = 10,852.02/160.60
  6. Step 6: Final answer
    x = 67.57

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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.