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Finding the Fourth Proportional to 174.32, 262.82 and 162.57

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Solution

The fourth proportional to 174.32, 262.82 and 162.57 is: 245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.32 : 262.82 = 162.57 : x
  2. Step 2: Convert to fraction form
    174.32/262.82 = 162.57/x
  3. Step 3: Cross multiply
    174.32x = 262.82 × 162.57
  4. Step 4: Simplify right side
    174.32x = 42,726.65
  5. Step 5: Solve for x
    x = 42,726.65/174.32
  6. Step 6: Final answer
    x = 245.10

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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.