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Finding the Fourth Proportional to 117.53, 174.90 and 116.31

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Solution

The fourth proportional to 117.53, 174.90 and 116.31 is: 173.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.53 : 174.90 = 116.31 : x
  2. Step 2: Convert to fraction form
    117.53/174.90 = 116.31/x
  3. Step 3: Cross multiply
    117.53x = 174.90 × 116.31
  4. Step 4: Simplify right side
    117.53x = 20,342.18
  5. Step 5: Solve for x
    x = 20,342.18/117.53
  6. Step 6: Final answer
    x = 173.09

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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.