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Finding the Fourth Proportional to 161.46, 242.37 and 143.30

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Solution

The fourth proportional to 161.46, 242.37 and 143.30 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.46 : 242.37 = 143.30 : x
  2. Step 2: Convert to fraction form
    161.46/242.37 = 143.30/x
  3. Step 3: Cross multiply
    161.46x = 242.37 × 143.30
  4. Step 4: Simplify right side
    161.46x = 34,731.62
  5. Step 5: Solve for x
    x = 34,731.62/161.46
  6. Step 6: Final answer
    x = 215.11

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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.