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Finding the Fourth Proportional to 161.99, 244.06 and 146.58

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Solution

The fourth proportional to 161.99, 244.06 and 146.58 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.99 : 244.06 = 146.58 : x
  2. Step 2: Convert to fraction form
    161.99/244.06 = 146.58/x
  3. Step 3: Cross multiply
    161.99x = 244.06 × 146.58
  4. Step 4: Simplify right side
    161.99x = 35,775.29
  5. Step 5: Solve for x
    x = 35,775.29/161.99
  6. Step 6: Final answer
    x = 220.85

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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.