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Finding the Fourth Proportional to 168.94, 253.57 and 117.40

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Solution

The fourth proportional to 168.94, 253.57 and 117.40 is: 176.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.94 : 253.57 = 117.40 : x
  2. Step 2: Convert to fraction form
    168.94/253.57 = 117.40/x
  3. Step 3: Cross multiply
    168.94x = 253.57 × 117.40
  4. Step 4: Simplify right side
    168.94x = 29,768.19
  5. Step 5: Solve for x
    x = 29,768.19/168.94
  6. Step 6: Final answer
    x = 176.21

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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.