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Finding the Fourth Proportional to 117.84, 175.42 and 117.22

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Solution

The fourth proportional to 117.84, 175.42 and 117.22 is: 174.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 175.42 = 117.22 : x
  2. Step 2: Convert to fraction form
    117.84/175.42 = 117.22/x
  3. Step 3: Cross multiply
    117.84x = 175.42 × 117.22
  4. Step 4: Simplify right side
    117.84x = 20,562.73
  5. Step 5: Solve for x
    x = 20,562.73/117.84
  6. Step 6: Final answer
    x = 174.50

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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.