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Finding the Fourth Proportional to 190.59, 286.91 and 147.50

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Solution

The fourth proportional to 190.59, 286.91 and 147.50 is: 222.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.59 : 286.91 = 147.50 : x
  2. Step 2: Convert to fraction form
    190.59/286.91 = 147.50/x
  3. Step 3: Cross multiply
    190.59x = 286.91 × 147.50
  4. Step 4: Simplify right side
    190.59x = 42,317.79
  5. Step 5: Solve for x
    x = 42,317.79/190.59
  6. Step 6: Final answer
    x = 222.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.