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Finding the Fourth Proportional to 191.00, 285.84 and 133.17

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Solution

The fourth proportional to 191.00, 285.84 and 133.17 is: 199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.00 : 285.84 = 133.17 : x
  2. Step 2: Convert to fraction form
    191.00/285.84 = 133.17/x
  3. Step 3: Cross multiply
    191.00x = 285.84 × 133.17
  4. Step 4: Simplify right side
    191.00x = 38,065.31
  5. Step 5: Solve for x
    x = 38,065.31/191.00
  6. Step 6: Final answer
    x = 199.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.