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Finding the Fourth Proportional to 190.94, 263.16 and 159.86

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Solution

The fourth proportional to 190.94, 263.16 and 159.86 is: 220.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.94 : 263.16 = 159.86 : x
  2. Step 2: Convert to fraction form
    190.94/263.16 = 159.86/x
  3. Step 3: Cross multiply
    190.94x = 263.16 × 159.86
  4. Step 4: Simplify right side
    190.94x = 42,068.76
  5. Step 5: Solve for x
    x = 42,068.76/190.94
  6. Step 6: Final answer
    x = 220.32

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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.