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Finding the Fourth Proportional to 191.21, 263.57 and 135.77

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Solution

The fourth proportional to 191.21, 263.57 and 135.77 is: 187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.21 : 263.57 = 135.77 : x
  2. Step 2: Convert to fraction form
    191.21/263.57 = 135.77/x
  3. Step 3: Cross multiply
    191.21x = 263.57 × 135.77
  4. Step 4: Simplify right side
    191.21x = 35,782.90
  5. Step 5: Solve for x
    x = 35,782.90/191.21
  6. Step 6: Final answer
    x = 187.14

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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.