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Finding the Fourth Proportional to 191.64, 263.58 and 178.68

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Solution

The fourth proportional to 191.64, 263.58 and 178.68 is: 245.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.64 : 263.58 = 178.68 : x
  2. Step 2: Convert to fraction form
    191.64/263.58 = 178.68/x
  3. Step 3: Cross multiply
    191.64x = 263.58 × 178.68
  4. Step 4: Simplify right side
    191.64x = 47,096.47
  5. Step 5: Solve for x
    x = 47,096.47/191.64
  6. Step 6: Final answer
    x = 245.75

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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.