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Finding the Fourth Proportional to 187.69, 258.90 and 113.98

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Solution

The fourth proportional to 187.69, 258.90 and 113.98 is: 157.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.69 : 258.90 = 113.98 : x
  2. Step 2: Convert to fraction form
    187.69/258.90 = 113.98/x
  3. Step 3: Cross multiply
    187.69x = 258.90 × 113.98
  4. Step 4: Simplify right side
    187.69x = 29,509.42
  5. Step 5: Solve for x
    x = 29,509.42/187.69
  6. Step 6: Final answer
    x = 157.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.