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Finding the Fourth Proportional to 174.84, 260.90 and 157.43

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Solution

The fourth proportional to 174.84, 260.90 and 157.43 is: 234.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 260.90 = 157.43 : x
  2. Step 2: Convert to fraction form
    174.84/260.90 = 157.43/x
  3. Step 3: Cross multiply
    174.84x = 260.90 × 157.43
  4. Step 4: Simplify right side
    174.84x = 41,071.40
  5. Step 5: Solve for x
    x = 41,071.40/174.84
  6. Step 6: Final answer
    x = 234.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.