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Finding the Fourth Proportional to 194.61, 291.70 and 133.77

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Solution

The fourth proportional to 194.61, 291.70 and 133.77 is: 200.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.61 : 291.70 = 133.77 : x
  2. Step 2: Convert to fraction form
    194.61/291.70 = 133.77/x
  3. Step 3: Cross multiply
    194.61x = 291.70 × 133.77
  4. Step 4: Simplify right side
    194.61x = 39,020.71
  5. Step 5: Solve for x
    x = 39,020.71/194.61
  6. Step 6: Final answer
    x = 200.51

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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.