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Finding the Fourth Proportional to 153.80, 212.64 and 116.90

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Solution

The fourth proportional to 153.80, 212.64 and 116.90 is: 161.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 212.64 = 116.90 : x
  2. Step 2: Convert to fraction form
    153.80/212.64 = 116.90/x
  3. Step 3: Cross multiply
    153.80x = 212.64 × 116.90
  4. Step 4: Simplify right side
    153.80x = 24,857.62
  5. Step 5: Solve for x
    x = 24,857.62/153.80
  6. Step 6: Final answer
    x = 161.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.