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Finding the Fourth Proportional to 114.98, 171.62 and 106.95

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Solution

The fourth proportional to 114.98, 171.62 and 106.95 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.98 : 171.62 = 106.95 : x
  2. Step 2: Convert to fraction form
    114.98/171.62 = 106.95/x
  3. Step 3: Cross multiply
    114.98x = 171.62 × 106.95
  4. Step 4: Simplify right side
    114.98x = 18,354.22
  5. Step 5: Solve for x
    x = 18,354.22/114.98
  6. Step 6: Final answer
    x = 159.64

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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.