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Finding the Fourth Proportional to 161.45, 243.19 and 147.10

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Solution

The fourth proportional to 161.45, 243.19 and 147.10 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.45 : 243.19 = 147.10 : x
  2. Step 2: Convert to fraction form
    161.45/243.19 = 147.10/x
  3. Step 3: Cross multiply
    161.45x = 243.19 × 147.10
  4. Step 4: Simplify right side
    161.45x = 35,772.40
  5. Step 5: Solve for x
    x = 35,772.40/161.45
  6. Step 6: Final answer
    x = 221.57

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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.