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Finding the Fourth Proportional to 161.02, 242.47 and 115.68

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Solution

The fourth proportional to 161.02, 242.47 and 115.68 is: 174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.02 : 242.47 = 115.68 : x
  2. Step 2: Convert to fraction form
    161.02/242.47 = 115.68/x
  3. Step 3: Cross multiply
    161.02x = 242.47 × 115.68
  4. Step 4: Simplify right side
    161.02x = 28,049.98
  5. Step 5: Solve for x
    x = 28,049.98/161.02
  6. Step 6: Final answer
    x = 174.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.