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Finding the Fourth Proportional to 174.71, 242.36 and 165.49

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Solution

The fourth proportional to 174.71, 242.36 and 165.49 is: 229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 242.36 = 165.49 : x
  2. Step 2: Convert to fraction form
    174.71/242.36 = 165.49/x
  3. Step 3: Cross multiply
    174.71x = 242.36 × 165.49
  4. Step 4: Simplify right side
    174.71x = 40,108.16
  5. Step 5: Solve for x
    x = 40,108.16/174.71
  6. Step 6: Final answer
    x = 229.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.