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Finding the Fourth Proportional to 175.12, 263.78 and 160.32

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Solution

The fourth proportional to 175.12, 263.78 and 160.32 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.12 : 263.78 = 160.32 : x
  2. Step 2: Convert to fraction form
    175.12/263.78 = 160.32/x
  3. Step 3: Cross multiply
    175.12x = 263.78 × 160.32
  4. Step 4: Simplify right side
    175.12x = 42,289.21
  5. Step 5: Solve for x
    x = 42,289.21/175.12
  6. Step 6: Final answer
    x = 241.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.