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Finding the Fourth Proportional to 175.60, 242.20 and 116.49

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Solution

The fourth proportional to 175.60, 242.20 and 116.49 is: 160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.60 : 242.20 = 116.49 : x
  2. Step 2: Convert to fraction form
    175.60/242.20 = 116.49/x
  3. Step 3: Cross multiply
    175.60x = 242.20 × 116.49
  4. Step 4: Simplify right side
    175.60x = 28,213.88
  5. Step 5: Solve for x
    x = 28,213.88/175.60
  6. Step 6: Final answer
    x = 160.67

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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.