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Finding the Fourth Proportional to 190.71, 263.14 and 117.05

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Solution

The fourth proportional to 190.71, 263.14 and 117.05 is: 161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.71 : 263.14 = 117.05 : x
  2. Step 2: Convert to fraction form
    190.71/263.14 = 117.05/x
  3. Step 3: Cross multiply
    190.71x = 263.14 × 117.05
  4. Step 4: Simplify right side
    190.71x = 30,798.93
  5. Step 5: Solve for x
    x = 30,798.93/190.71
  6. Step 6: Final answer
    x = 161.50

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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.