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Finding the Fourth Proportional to 160.64, 240.96 and 75.20

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Solution

The fourth proportional to 160.64, 240.96 and 75.20 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.64 : 240.96 = 75.20 : x
  2. Step 2: Convert to fraction form
    160.64/240.96 = 75.20/x
  3. Step 3: Cross multiply
    160.64x = 240.96 × 75.20
  4. Step 4: Simplify right side
    160.64x = 18,120.19
  5. Step 5: Solve for x
    x = 18,120.19/160.64
  6. Step 6: Final answer
    x = 112.80

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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.