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Finding the Fourth Proportional to 161.10, 242.64 and 146.34

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Solution

The fourth proportional to 161.10, 242.64 and 146.34 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.10 : 242.64 = 146.34 : x
  2. Step 2: Convert to fraction form
    161.10/242.64 = 146.34/x
  3. Step 3: Cross multiply
    161.10x = 242.64 × 146.34
  4. Step 4: Simplify right side
    161.10x = 35,507.94
  5. Step 5: Solve for x
    x = 35,507.94/161.10
  6. Step 6: Final answer
    x = 220.41

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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.