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Finding the Fourth Proportional to 191.32, 262.30 and 187.67

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Solution

The fourth proportional to 191.32, 262.30 and 187.67 is: 257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.32 : 262.30 = 187.67 : x
  2. Step 2: Convert to fraction form
    191.32/262.30 = 187.67/x
  3. Step 3: Cross multiply
    191.32x = 262.30 × 187.67
  4. Step 4: Simplify right side
    191.32x = 49,225.84
  5. Step 5: Solve for x
    x = 49,225.84/191.32
  6. Step 6: Final answer
    x = 257.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.