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Finding the Fourth Proportional to 113.98, 171.07 and 45.55

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Solution

The fourth proportional to 113.98, 171.07 and 45.55 is: 68.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.98 : 171.07 = 45.55 : x
  2. Step 2: Convert to fraction form
    113.98/171.07 = 45.55/x
  3. Step 3: Cross multiply
    113.98x = 171.07 × 45.55
  4. Step 4: Simplify right side
    113.98x = 7,792.01
  5. Step 5: Solve for x
    x = 7,792.01/113.98
  6. Step 6: Final answer
    x = 68.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.