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Finding the Fourth Proportional to 113.98, 157.26 and 84.88

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Solution

The fourth proportional to 113.98, 157.26 and 84.88 is: 117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 157.26 = 84.88 : x
  2. Step 2: Convert to fraction form
    113.98/157.26 = 84.88/x
  3. Step 3: Cross multiply
    113.98x = 157.26 × 84.88
  4. Step 4: Simplify right side
    113.98x = 13,348.23
  5. Step 5: Solve for x
    x = 13,348.23/113.98
  6. Step 6: Final answer
    x = 117.11

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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.