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Finding the Fourth Proportional to 191.58, 264.36 and 116.88

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Solution

The fourth proportional to 191.58, 264.36 and 116.88 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.58 : 264.36 = 116.88 : x
  2. Step 2: Convert to fraction form
    191.58/264.36 = 116.88/x
  3. Step 3: Cross multiply
    191.58x = 264.36 × 116.88
  4. Step 4: Simplify right side
    191.58x = 30,898.40
  5. Step 5: Solve for x
    x = 30,898.40/191.58
  6. Step 6: Final answer
    x = 161.28

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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.