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Finding the Fourth Proportional to 161.84, 220.40 and 158.84

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Solution

The fourth proportional to 161.84, 220.40 and 158.84 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.84 : 220.40 = 158.84 : x
  2. Step 2: Convert to fraction form
    161.84/220.40 = 158.84/x
  3. Step 3: Cross multiply
    161.84x = 220.40 × 158.84
  4. Step 4: Simplify right side
    161.84x = 35,008.34
  5. Step 5: Solve for x
    x = 35,008.34/161.84
  6. Step 6: Final answer
    x = 216.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.