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Finding the Fourth Proportional to 161.66, 242.46 and 74.99

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Solution

The fourth proportional to 161.66, 242.46 and 74.99 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.66 : 242.46 = 74.99 : x
  2. Step 2: Convert to fraction form
    161.66/242.46 = 74.99/x
  3. Step 3: Cross multiply
    161.66x = 242.46 × 74.99
  4. Step 4: Simplify right side
    161.66x = 18,182.68
  5. Step 5: Solve for x
    x = 18,182.68/161.66
  6. Step 6: Final answer
    x = 112.47

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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.