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Finding the Fourth Proportional to 174.53, 263.01 and 157.19

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Solution

The fourth proportional to 174.53, 263.01 and 157.19 is: 236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.53 : 263.01 = 157.19 : x
  2. Step 2: Convert to fraction form
    174.53/263.01 = 157.19/x
  3. Step 3: Cross multiply
    174.53x = 263.01 × 157.19
  4. Step 4: Simplify right side
    174.53x = 41,344.14
  5. Step 5: Solve for x
    x = 41,344.14/174.53
  6. Step 6: Final answer
    x = 236.90

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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.